Vern Paulsen
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American mathematician
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Mathematics
Vern Paulsen's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is Vern Paulsen Influential?
(Suggest an Edit or Addition)According to Wikipedia, Vern Ival Paulsen is an American mathematician, focusing in operator theory, operator algebras, frame theory, C*-algebras, and quantum information theory. Education and career Paulsen studied mathematics at Western Michigan University, obtaining a BA in 1973. He then moved to University of Michigan and obtained his Ph.D. in mathematics under Carl Pearcy in 1977. He spent the following two years at University of Kansas as an instructor. Since 1979, he has been a faculty member in the Department of Mathematics at University of Houston. He was since 1996 the John and Rebecca Moores Professor at the University of Houston.
Vern Paulsen's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Completely Bounded Maps and Operator Algebras (2003) (1438)
- Completely bounded maps and dilations (1987) (585)
- An Introduction to the Theory of Reproducing Kernel Hilbert Spaces (2016) (371)
- Optimal frames for erasures (2004) (363)
- Completely Bounded Maps and Operator Algebras: Contents (2003) (303)
- COMPLETELY BOUNDED MAPS AND OPERATOR ALGEBRAS (Cambridge Studies in Advanced Mathematics 78) By VERN PAULSEN: 300 pp., 47.50 (US$65.00), ISBN 0-521-81669-6 (Cambridge University Press, 2002) (2004) (282)
- Tensor products of operator spaces (1991) (280)
- HILBERT C*‐MODULES: A TOOLKIT FOR OPERATOR ALGEBRAISTS (London Mathematical Society Lecture Note Series 210) (1997) (268)
- Frames, graphs and erasures (2004) (186)
- Every Completely Polynomially Bounded Operator Is Similar to a Contraction (1984) (167)
- Tensor products of operator systems (2009) (129)
- Multilinear maps and tensor norms on operator systems (1987) (114)
- Schur Products and Matrix Completions (1989) (110)
- Quotients, exactness, and nuclearity in the operator system category (2010) (108)
- Categories of Operator Modules: Morita Equivalence and Projective Modules (1999) (98)
- Non-closure of the Set of Quantum Correlations via Graphs (2017) (94)
- Operator system quotients of matrix algebras and their tensor products (2011) (94)
- Vector Spaces with an Order Unit (2007) (92)
- Estimating quantum chromatic numbers (2014) (91)
- Operator system structures on ordered spaces (2009) (86)
- Representations of Function Algebras, Abstract Operator Spaces, and Banach Space Geometry (1992) (70)
- Frame paths and error bounds for sigma–delta quantization☆ (2007) (66)
- A NOTE ON JOINT HYPONORMALITY (1989) (64)
- Equiangular tight frames from complex Seidel matrices containing cube roots of unity (2008) (63)
- Algebraic Reduction and Rigidity for Hilbert Modules (1995) (60)
- Explicit construction of universal operator algebras and applications to polynomial factorization (1991) (58)
- Bohr's inequality for uniform algebras (2004) (58)
- On Bohr's Inequality (2002) (58)
- Characterisations of the weak expectation property (2013) (56)
- Extensions of Bohr'S Inequality (2006) (56)
- Multipliers of operator spaces, and the injective envelope (1999) (54)
- A Constrained Nevanlinna-Pick Interpolation Problem (2007) (53)
- QUANTUM CHROMATIC NUMBERS VIA OPERATOR SYSTEMS (2013) (51)
- Completely bounded homomorphisms of operator algebras (1984) (48)
- Completely Bounded Maps and Operator Algebras: Completely Bounded Multilinear Maps and the Haagerup Tensor Norm (2003) (48)
- C*-algebras with the weak expectation property and a multivariable analogue of Ando's theorem on the numerical radius (2011) (47)
- A synchronous game for binary constraint systems (2017) (46)
- Some remarks on C∗-convexity (1981) (45)
- Decoherence-Insensitive Quantum Communication by Optimal $C^{\ast }$-Encoding (2006) (44)
- Polynomially bounded operators. (1997) (42)
- Completely bounded maps on *-algebras and invariant operator ranges (1982) (41)
- Algebras, Synchronous Games and Chromatic Numbers of Graphs (2017) (40)
- Symmetric approximation of frames and bases in Hilbert spaces (1998) (39)
- Unitary Correlation Sets (2016) (38)
- The maximal operator space of a normed space (1996) (38)
- PROJECTIONS AND THE KADISON-SINGER PROBLEM (2007) (36)
- Quantum Graph Homomorphisms via Operator Systems (2015) (35)
- Eventually entanglement breaking maps (2018) (35)
- Operator Systems from Discrete Groups (2012) (34)
- Smooth Frame-Path Termination for Higher Order Sigma-Delta Quantization (2007) (34)
- Synchronous correlation matrices and Connes' embedding conjecture (2015) (34)
- Operator theory and algebraic geometry (1989) (34)
- An approximation theorem for nuclear operator systems (2010) (33)
- On the Ranges of Bimodule Projections (2003) (33)
- Bigalois Extensions and the Graph Isomorphism Game (2018) (31)
- The isomorphism relation for separable C*-algebras (2013) (31)
- Lov\'asz theta type norms and Operator Systems (2014) (31)
- Injective envelopes of C∗-algebras as operator modules (2001) (30)
- Computing stabilized norms for quantum operations via the theory of completely bounded maps (2007) (28)
- Stably isomorphic dual operator algebras (2007) (27)
- Minimal and maximal operator spaces and operator systems in entanglement theory (2010) (27)
- A SPECTRAL CHARACTERIZATION OF OPERATORS (2015) (26)
- Composition of PPT maps (2017) (25)
- Analytic reproducing kernels and multiplication operators (1992) (25)
- Diffusing with Stefan and Maxwell (2003) (24)
- C ∗ -Extreme Points (1981) (24)
- Operator Algebras of Idempotents (2001) (23)
- OPERATOR ALGEBRAS OF FUNCTIONS (2009) (23)
- Spanning and independence properties of frame partitions (2010) (21)
- C*-Envelopes and Interpolation Theory (2002) (21)
- A covariant version of Ext. (1982) (19)
- On Centered and Weakly Centered Operators (1995) (18)
- Matrix-valued interpolation and hyperconvex sets (2001) (17)
- Perfect Embezzlement of Entanglement (2016) (17)
- Quasi-multipliers of operator spaces $ (2004) (17)
- Tensor products of non-self-adjoint operator algebras (1990) (17)
- COMPLETELY BOUNDED MAPS ON C*-ALGEBRAS AND INVARIANT OPERATOR RANGES (2010) (16)
- Relative Yoneda Cohomology for Operator Spaces (1998) (16)
- Schur multipliers and operator-valued Foguel-Hankel operators (2005) (16)
- Injectivity and projectivity in analysis and topology (2007) (16)
- $C\sp{\ast} $-extreme points (1981) (14)
- Perfect Strategies for Non-Local Games (2018) (14)
- Weak expectations and the injective envelope (2008) (13)
- Entanglement breaking rank and the existence of SIC POVMs (2018) (13)
- Bisynchronous Games and Factorizable Maps (2019) (13)
- Stable isomorphism of dual operator spaces (2008) (13)
- Tree Algebras, Semidiscreteness, and Dilation Theory (1994) (12)
- The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces (2010) (12)
- A Dynamical Systems Approach to the Kadison-Singer Problem (2007) (12)
- An operator algebraic proof of Agler's factorization theorem (2008) (11)
- $k$-hyponormality of weighted shifts (1992) (11)
- MODULES OVER SUBALGEBRAS OF THE DISK ALGEBRA (2006) (11)
- Some new equivalences of Anderson’s paving conjectures (2007) (11)
- ALGEBRAIC REDUCTION FOR HARDY SUBMODULES OVER POLYDISK ALGEBRAS (2007) (11)
- TWO REFORMULATIONS OF KADISON'S SIMILARITY PROBLEM (2006) (10)
- Complexity and Capacity Bounds for Quantum Channels (2017) (10)
- CONTINUOUS CANONICAL FORMS FOR MATRICES UNDER UNITARY EQUIVALENCE (1978) (10)
- Analytic Reproducing Kernels and Factorization (2004) (10)
- Semi-discreteness and dilation theory for nest algebras (1988) (10)
- Syndetic sets, paving and the Feichtinger conjecture (2010) (10)
- The Delta game (2017) (9)
- DIAGONALS IN TENSOR PRODUCTS OF OPERATOR ALGEBRAS (2001) (9)
- COMPLETE POSITIVITY OF THE MAP FROM A BASIS TO ITS DUAL BASIS (2012) (9)
- A Helson-Lowdenslager-de Branges theorem in L^2 (2001) (9)
- INJECTIVE AND PROJECTIVE HILBERT C*-MODULES, AND C*-ALGEBRAS OF COMPACT OPERATORS (2006) (8)
- Representations of logmodular algebras (2008) (8)
- OPERATOR IDEALS AND OPERATOR SPACES (1995) (8)
- On the Mixed-Unitary Rank of Quantum Channels (2020) (8)
- LIE IDEALS IN OPERATOR ALGEBRAS (2002) (7)
- CHARACTERIZATIONS OF ESSENTIAL IDEALS AS OPERATOR MODULES OVER C -ALGEBRAS (2001) (7)
- Schur multipliers and mixed unitary maps (2018) (6)
- Completely Bounded Maps and Operator Algebras: Completely Positive Maps (2003) (6)
- Equivariant maps and bimodule projections (2005) (6)
- QUASIMULTIPLIERS OF OPERATOR SPACES (2003) (5)
- Universal compressions of representations ofH∞(G) (1988) (5)
- Matrix range characterizations of operator system properties (2019) (5)
- Weak Compalence Invariants for Essentially n-Normal Operators (1979) (5)
- Statistics and machine learning (2016) (5)
- Interpolation and Balls in C^k (2006) (4)
- Resolutions of Hilbert Modules (1997) (4)
- The SOH Operator System (2015) (4)
- Positive maps and entanglement in real Hilbert spaces (2022) (4)
- Completely Bounded Maps and Operator Algebras: Abstract Characterizations of Operator Systems and Operator Spaces (2003) (3)
- STATE EXTENSIONS AND THE KADISON-SINGER PROBLEM (2007) (3)
- A Helson-Lowdenslager-deBranges Theorem in ² (2000) (3)
- A Simple Proof of Bohr's Inequality (2022) (3)
- Relative Yoneda Cohomology for Operator Spaces: an Overview (1997) (3)
- Complete spectral sets and numerical range (2016) (3)
- The group of invertible elements in a Banach algebra (1982) (3)
- Reverse Cholesky factorization and tensor products of nest algebras (2017) (2)
- Completely Bounded Maps (2003) (2)
- Correlation Minimizing Frames in Small Dimensions (2015) (2)
- Preservation of the joint essential matricial range (2018) (2)
- AN INTRODUCTION TO THE THEORY OF TOPOLOGICAL GROUPS AND THEIR REPRESENTATIONS (2011) (2)
- Constant gap between conventional strategies and those based on C*-dynamics for self-embezzlement (2018) (2)
- Syndetic Sets and Amenability (2010) (2)
- Counterexamples to the extendibility of positive unital norm-one maps (2022) (2)
- Completely Bounded Maps and Operator Algebras: Polynomially Bounded and Power-Bounded Operators (2003) (2)
- Completely Bounded Maps and Operator Algebras: Commuting Contractions on Hilbert Space (2003) (1)
- Loss-insensitive vector encoding with two-uniform frames (2005) (1)
- THREE APPROACHES TO KADISON-SINGER (2006) (1)
- Products of synchronous games (2021) (1)
- Non-local games in quantum information theory (2021) (1)
- Tensor Products of the Operator System Generated by the Cuntz Isometries (2015) (1)
- A SPECTRAL CHARACTERIZATION OFAN OPERATORS (2017) (1)
- A SURVEY OF COMPLETELY BOUNDED MAPS (2007) (1)
- BSE BANACH MODULES AND BUNDLES OF BANACH SPACES (1998) (1)
- Reproducing Kernel Hilbert spaces, De Branges spaces and the Feichtinger conjecture (2010) (1)
- Problems of Tsirelson and Connes, and a hierarchy of combinatorial parameters (2014) (1)
- THREE APPROACHES TO KADISON-SINGER (2006) (1)
- Completely Bounded Maps and Operator Algebras: Similarity and Factorization (2003) (1)
- COPENHAGEN 2022 CONNES (2022) (0)
- Introduction to Real Analysis Fall 2014 Lecture Notes (2014) (0)
- 0 D ec 2 00 3 QUASIMULTIPLIERS OF OPERATOR SPACES (2003) (0)
- Synchronous Values of Games (2021) (0)
- Completely Bounded Maps and Operator Algebras: Applications to K -Spectral Sets (2003) (0)
- Completely Bounded Maps and Operator Algebras: Abstract Operator Algebras (2003) (0)
- ON THE KADISON-SINGER CONJECTURE FOR THE ARCC MEETING (2006) (0)
- FA ] 2 7 M ay 2 01 8 Preservation of the joint essential matricial range (0)
- Applications of RKHS to integral operators (2016) (0)
- Perfect Strategies for Non-Local Games (2020) (0)
- Completely Bounded Maps and Operator Algebras: Positive Maps (2003) (0)
- Completely Bounded Maps and Operator Algebras: Completely Positive Maps into M n (2003) (0)
- A Classification Theorem for Essentially Binormal Operators (1981) (0)
- Operator Systems from Discrete Groups (2014) (0)
- FA ] 1 3 D ec 2 01 8 Preservation of the joint essential matricial range (0)
- Operations on kernels (2016) (0)
- Interpolation and approximation (2016) (0)
- Negative definite functions (2016) (0)
- Publisher’s Note: “Synchronous correlation matrices and Connes’ embedding conjecture” [J. Math. Phys. 57, 015214 (2016)] (2015) (0)
- FAQI NOTES (2018) (0)
- Completely Bounded Maps and Operator Algebras: An Operator Space Bestiary (2003) (0)
- AN OPERATOR ALGEBRA PROOF OF THE AGLER AND NEVANLINNA FACTORIZATION THEOREMS (2008) (0)
- Cholesky and Schur (2016) (0)
- Bigalois Extensions and the Graph Isomorphism Game (2019) (0)
- ESSENTIALLY n-NORMAL OPERATORS.* (2016) (0)
- LECTURES ON THE KADISON-SINGER PROBLEM FALL 2007 (2019) (0)
- FAQI NOTES (2018) (0)
- Book Review: Tensor products of C*-algebras and operator spaces (2021) (0)
- INTERPOLATION AND BALLS IN C (2006) (0)
- LECTURES ON THE KADISON-SINGER PROBLEM FALL 2007 (2019) (0)
- Vector-valued spaces (2016) (0)
- COMPLETELY BOUNDED MAPS ON C'-ALGEBRAS1 (2010) (0)
- A SURVEY OF FUNCTIONAL ANALYSIS FOR QUANTUM INFORMATION THEORY (2017) (0)
- A SURVEY OF FUNCTIONAL ANALYSIS FOR QUANTUM INFORMATION THEORY (2017) (0)
- Completely Bounded Maps and Operator Algebras: Arveson's Extension Theorems (2003) (0)
- Positive definite functions on groups (2016) (0)
- Completely Bounded Maps and Operator Algebras: Universal Operator Algebras and Factorization (2003) (0)
- Completely Bounded Maps and Operator Algebras: Tensor Products and Joint Spectral Sets (2003) (0)
- OPERATOR ALGEBRA METHODS IN QIT WINTER 2020 (2020) (0)
- Extensions of the Inequalities of Hardy and Hilbert (2015) (0)
- Three Tensor Norms for Operator Spaces (1991) (0)
- Cyclic Error-Detecting Codes (1973) (0)
- OPERATOR ALGEBRA METHODS IN QIT WINTER 2020 (2020) (0)
- Non-closure of the Set of Quantum Correlations via Graphs (2019) (0)
- Completely Bounded Maps and Operator Algebras: Completely Bounded Homomorphisms (2003) (0)
- Embezzlement of Entanglement (2019) (0)
- Noncommutative L p-spaces , Operator spaces and Applications June 27-July 2 , 2010 (0)
- Unitary Correlation Sets (2017) (0)
- FA ] 1 4 A pr 2 01 0 SPANNING AND INDEPENDENCE PROPERTIES OF FRAME PARTITIONS (2021) (0)
- O ct 2 01 8 SCHUR MULTIPLIERS AND MIXED UNITARY MAPS (2018) (0)
- Operator Systems: Quotients, Duals, and Tensors with Applications to Connes’ Embedding Problem (2012) (0)
- Bisynchronous Games and Factorizable Maps (2021) (0)
- INTERPOLATION AND BALLS IN (2006) (0)
- Completely Bounded Maps and Operator Algebras: Introduction (2003) (0)
- MATH 1451, SAMPLE TEST I, SPRING 2011 (2011) (0)
- COPENHAGEN 2022 CONNES (2022) (0)
- PAVING AND THE KADISON-SINGER PROBLEM (0)
- Power series on balls and pull-backs (2016) (0)
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