Kenneth Davidson
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Mathematics
Kenneth Davidson 's Degrees
- PhD Mathematics Stanford University
- Masters Mathematics Stanford University
- Bachelors Mathematics Stanford University
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(Suggest an Edit or Addition)According to Wikipedia, Kenneth Ralph Davidson is Professor of Pure Mathematics at the University of Waterloo. He did his undergraduate work at Waterloo and received his Ph.D. under the supervision of William Arveson at the University of California, Berkeley in 1976. Davidson was Director of the Fields Institute from 2001 to 2004. His areas of research include operator theory and C*-algebras. Since 2007 he has been appointed University Professor at the University of Waterloo.
Kenneth Davidson '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
- C*-algebras by example (1996) (1101)
- Chapter 8 - Local Operator Theory, Random Matrices and Banach Spaces (2001) (368)
- Invariant Subspaces and Hyper‐Reflexivity for Free Semigroup Algebras (1999) (230)
- The algebraic structure of non-commutative analytic Toeplitz algebras (1998) (213)
- Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras (1998) (156)
- The structure of free semigroup algebras (2000) (101)
- The Choquet boundary of an operator system (2013) (95)
- Nest algebras : triangular forms for operator algebras on Hilbert space (1988) (79)
- Almost commuting Hermitian matrices. (1985) (69)
- The isomorphism problem for some universal operator algebras (2010) (68)
- Isometric Dilations of Non-Commuting Finite Rank n-Tuples (2001) (64)
- Periodicity in Rank 2 Graph Algebras (2007) (61)
- Real Analysis with Real Applications (2001) (61)
- On operators commuting with Toeplitz operators modulo the compact operators (1977) (54)
- A Constrained Nevanlinna-Pick Interpolation Problem (2007) (53)
- Isomorphisms between topological conjugacy algebras (2006) (52)
- Dilations, inclusions of matrix convex sets, and completely positive maps (2016) (51)
- Operator Algebras for Multivariable Dynamics (2007) (50)
- Operator algebras for analytic varieties (2012) (50)
- Real Analysis and Applications: Theory in Practice (2009) (46)
- Semicrossed Products of Operator Algebras by Semigroups (2014) (45)
- ABSOLUTELY CONTINUOUS REPRESENTATIONS AND A KAPLANSKY DENSITY THEOREM FOR FREE SEMIGROUP ALGEBRAS (2004) (45)
- The distance to the analytic Toeplitz operators (1987) (42)
- Polynomially bounded operators. (1997) (42)
- Best approximation in C*-algebras. (1986) (41)
- Atomic Representations of Rank 2 Graph Algebras (2007) (37)
- A proof of Boca's Theorem (2017) (37)
- Similarity and compact perturbations of nest algebras. (1984) (36)
- ISOMETRIC AUTOMORPHISMS AND HOMOLOGY FOR NON-SELF-ADJOINT OPERATOR ALGEBRAS (1991) (33)
- Dilation theory, commutant lifting and semicrossed products (2011) (33)
- Real Analysis and Applications (2010) (32)
- Convexity and Optimization (2009) (31)
- Almost commuting matrices and a quantitative version of the Brown-Douglas-Fillmore theorem (1991) (31)
- Representations of higher rank graph algebras (2008) (31)
- Free Semigroup Algebras A Survey (2001) (29)
- Dilation Theory for Rank 2 Graph Algebras (2007) (27)
- The Jordan form of a bitriangular operator (1990) (27)
- Norms of Schur multipliers (2005) (26)
- Numerical radii of zero-one matrices. (1988) (26)
- Dilation theory for rank two graph algebras. (2010) (24)
- Duality, convexity and peak interpolation in the Drury-Arveson space (2015) (23)
- The structure of free smigroup algebras (2001) (23)
- Commutant lifting for commuting row contractions (2009) (22)
- The generalized Berezin transform and commutator ideals (2004) (21)
- Topological stable rank of nest algebras (2008) (21)
- Noncommutative Choquet theory (2019) (20)
- Nevanlinna–Pick Interpolation and Factorization of Linear Functionals (2010) (20)
- Absolute continuity for commuting row contractions (2015) (20)
- Failure of the Distance Formula (1985) (19)
- Semicrossed products of simple C*-algebras (2007) (19)
- Multipliers of Embedded Discs (2013) (19)
- Conjugate Dynamical Systems on C*-algebras (2012) (18)
- Rearranging the Alternating Harmonic Series (1980) (18)
- Nest Representations of Directed Graph Algebras (2004) (17)
- C*-envelopes of tensor algebras for multivariable dynamics (2008) (17)
- Noncommutative Disc Algebras for Semigroups (1998) (17)
- ON THE SIMPLE C∗-ALGEBRAS ARISING FROM DYCK SYSTEMS (2007) (16)
- B(H) is a free semigroup algebra (2005) (16)
- Transitive Spaces of Operators (2007) (14)
- Some exact distance constants (1994) (13)
- Dilating covariant representations of the non-commutative disc algebras (2009) (13)
- Primitive Limit Algebras and C*-Envelopes☆☆☆ (2002) (12)
- Tree Algebras, Semidiscreteness, and Dilation Theory (1994) (12)
- Ideals in a multiplier algebra on the ball (2015) (11)
- Semicrossed products of operator algebras: A survey (2014) (11)
- LINEAR SPANS OF UNITARY AND SIMILARITY ORBITS OF A HILBERT SPACE OPERATOR (2004) (11)
- Choquet order and hyperrigidity for function systems (2016) (11)
- The Invertibles are Connected in Infinite Multiplicity Nest Algebras (1995) (11)
- The distance between unitary orbits of normal elements in the Calkin algebra (1984) (10)
- A 3×3 dilation counterexample (2012) (10)
- Operator Algebras with Unique Preduals (2008) (10)
- Almost commuting matrices and the Brown-Douglas-Fillmore theorem (1987) (10)
- Pointwise Limits of Analytic Functions (1983) (10)
- Connectedness of the Invertibles in Certain Nest Algebras (1995) (9)
- EPIMORPHISMS OF NEST ALGEBRAS (1995) (9)
- Lifting positive elements in C*-algebras (1991) (9)
- Isomorphisms of tensor algebras of topological graphs (2010) (9)
- On the topological stable rank of non-selfadjoint operator algebras (2007) (9)
- A note on absolute continuity in free semigroup algebras (2008) (9)
- Semicrossed products of the disk algebra (2012) (8)
- When Locally Contractive Representations Are Completely Contractive (1995) (8)
- The mathematical legacy of William Arveson (2012) (8)
- THE LATTICE OF CLOSED IDEALS IN THE BANACH ALGEBRA OF OPERATORS ON A CERTAIN DUAL BANACH SPACE (2006) (7)
- Strongly Peaking Representations and Compressions of Operator Systems (2020) (7)
- THE RUSSO-DYE THEOREM IN NEST ALGEBRAS (1998) (7)
- Approximate unitary equivalence of continuous nests (1986) (7)
- Interpolation and duality in algebras of multipliers on the ball (2020) (7)
- Essentially Normal Operators (2010) (7)
- Meet-irreducible ideals and representations of limit algebras (2002) (7)
- A proof of the boundary theorem (1981) (7)
- Nonself-adjoint operator algebras for dynamical systems (2009) (7)
- On the topological stable rank of non-selfadjoint operator algebras (2008) (7)
- Tridiagonal forms in low dimensions (2005) (6)
- Distance Formulae for Subspace Lattices (1989) (6)
- AN OPERATOR ALGEBRA WHICH IS NOT CLOSED IN THE CALKIN ALGEBRA (1977) (6)
- 1-Hyperreflexivity and complete hyperreflexivity (2005) (5)
- NORM-CLOSED BIMODULES OF NEST ALGEBRAS (1998) (5)
- Recent advances in operator theory and applications (2005) (5)
- Rank decomposability in incident spaces (1995) (5)
- Semicrossed products of the disc algebra (2011) (5)
- Approximate unitary equivalence of completely distributive commutative subspace lattices (1995) (5)
- Erratum to: Multipliers of Embedded Discs (2015) (5)
- The basics of C*-algebras (1996) (5)
- Biholomorphisms of the unit ball of C^n and semicrossed products (2009) (4)
- Causal invertibility and stability of asymmetric half-plane digital filters (1983) (4)
- The Jacobson radical of a CSL algebra (1994) (4)
- Positive maps and entanglement in real Hilbert spaces (2022) (4)
- Structure of free semigroupoid algebras (2017) (4)
- Compactness and Complete Distributivity for Commutative Subspace Lattices (1990) (4)
- Complete spectral sets and numerical range (2016) (3)
- Perturbations of matrix algebras. (1986) (3)
- JOINT QUASITRIANGULARITY OF ESSENTIALLY UNITARY PAIRS (1993) (3)
- Polynomially Bounded Operators, A Survey (1997) (3)
- Finite Dimension Problems in Operator Theory (1989) (3)
- Automorphisms of quasitriangular algebras (1984) (3)
- Incompatibility of compact perturbations with the Sz. Nagy–Foias functional calculus (1994) (2)
- A parametrization of all stable stabilizing compensators for single-input-output systems (1983) (2)
- Group C*-algebras (1996) (2)
- THE UNIT BALL OF THE PREDUAL OF H ∞ ( B d ) HAS NO EXTREME POINTS (2015) (2)
- Lifting commuting pairs of C∗ algebras (1982) (2)
- Isomorphisms modulo the compact operators of nest algebras II (1988) (2)
- The unit ball of the predual of $H^\infty(\mathbb{B}_d)$ has no extreme points (2015) (2)
- Counterexamples to the extendibility of positive unital norm-one maps (2022) (2)
- Corrigendum: C*-envelopes of tensor algebras for multivariable dynamics (2011) (1)
- Normalizers of finite multiplicity nests (1996) (1)
- Compact Perturbations of Reflexive Algebras (1981) (1)
- Banach spaces antiproximinial in their biduals (1986) (1)
- Principal Bimodules of Nest Algebras (1998) (1)
- ISOMETRIES OF UNBOUNDED FREDHOLM MODULES OVER MANIFOLDS (2000) (1)
- The composition of the Crab. (1985) (1)
- Quasisimilarity of nests. (1989) (1)
- Approximate unitary equivalence of power partial isometries (1984) (1)
- Isometric Images of C* Algebras (1984) (1)
- The Use and Abuse of Taxes (2011) (1)
- BANACH SPACE THEORY AND LOCAL OPERATOR THEORY (2004) (1)
- The Relationship Between Distance Formulae and Compact Perturbations for Reflexive Algebras (1990) (1)
- Extreme Points in Quotients of Operator Algebras (1988) (1)
- Essentially Spectral Operators (1983) (1)
- Multivariate Operator Theory (2010) (1)
- Fourier Series and Physics (2009) (0)
- Differentiation and Integration (2009) (0)
- Limit algebras: an introudction to subalgebras of C*‐algebras (1995) (0)
- -theory for AF C*-algebras (1996) (0)
- The Case for Higher Taxation (2010) (0)
- The Real Numbers (2009) (0)
- A Note on the Similarity Theorem for Nest Algebras (2005) (0)
- Examples of Chains of Invariant Subspaces (1986) (0)
- Badminton : instructor's guide (1952) (0)
- Norms and Inner Products (2009) (0)
- CAUSAL INVERTIBILITY AND STABILITY OF HALF-PLANE TWO-DIMENSIONAL DIGITAL FILTERS. (1981) (0)
- Irrational rotation algebras (1996) (0)
- Costello's pot of gold (2005) (0)
- The functional calculus for commuting row contractions (2016) (0)
- Nevanlinna-Pick Families and Singular Rational Varieties (2018) (0)
- Lifting Positive Elements in (1991) (0)
- Book Review: Approximation of Hilbert space operators, (1986) (0)
- Fourier Series and Approximation (2009) (0)
- A dystopian dream world (2013) (0)
- Topology of {\mathbb{R}^n} (2009) (0)
- Book Review: Tensor products of C*-algebras and operator spaces (2021) (0)
- Nest Algebras are Hyperfinite (1998) (0)
- A 3 × 3 DILATION COUNTEREXAMPLE MAN (2012) (0)
- Approximately finite dimensional (AF) C*-algebras (1996) (0)
- Erratum to: The algebraic structure of non-commutative analytic Toeplitz algebras (2015) (0)
- Brown-Douglas-Fillmore theory (1996) (0)
- Limits of Functions (2009) (0)
- Comparing Partial Sums with Their Penultimate Terms: 10433 (1998) (0)
- Normal operators and abelian C*-algebras (1996) (0)
- Continuous Nests and the Strange Behaviour of Ext (1986) (0)
- O A ] 7 M ay 2 00 7 OPERATOR ALGEBRAS FOR MULTIVARIABLE DYNAMICS (2007) (0)
- Erratum to: Multipliers of Embedded Discs (2014) (0)
- World Water Scam (2008) (0)
- Discrete crossed products (1996) (0)
- Approximation by Polynomials (2009) (0)
- O A ] 1 5 Se p 20 05 NEST REPRESENTATIONS OF DIRECTED GRAPH ALGEBRAS (0)
- Real Analysis and Applications: Theory in Practice Supplementary Material (2010) (0)
- Problems: 10431-10437 (1995) (0)
- Multipliers of Embedded Discs (2014) (0)
- GENERALIZED NUMERICAL RANGES AND QUANTUM ERROR CORRECTION (2011) (0)
- Erratum to: The algebraic structure of non-commutative analytic Toeplitz algebras (2015) (0)
- C*-algebras of isometries (1996) (0)
- Operator theory 20 : proceedings of the 20th international conference on operator theory, Timis̥oara (Romania), June 30-July 5, 2004 (2006) (0)
- -hyperreflexivity and Complete Hyperreflexivity (2005) (0)
- Discrete Dynamical Systems (2009) (0)
- Review: Domingo Herrero and Constantin Apostol, Approximation of Hilbert space operators (1986) (0)
- O A ] 2 1 Se p 20 07 Operator algebras for multivariable dynamics (2007) (0)
- The Neglected Crab (1989) (0)
- Myths and mismanagement (2002) (0)
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