William Arveson | Academic Influence

William Arveson's AcademicInfluence.com Rankings

William Arveson

Mathematics

#860

World Rank

#1525

Historical Rank

#377

USA Rank

Measure Theory

#699

World Rank

#946

Historical Rank

#280

USA Rank

mathematics Degrees

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Mathematics

William Arveson's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is William Arveson Influential?

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According to Wikipedia, William B. Arveson was a mathematician specializing in operator algebras who worked as a professor of Mathematics at the University of California, Berkeley. Biography Arveson obtained his Ph.D. from UCLA in 1964 with thesis advisor Henry Dye and thesis Prediction theory and group representations.

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William Arveson'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

On subalgebras of $C^*$-algebras (1969) (782)
Subalgebras ofC*-algebras (1969) (691)
An Invitation To C*-Algebras (1976) (629)
Subalgebras ofC*-algebras III: Multivariable operator theory (1997) (457)
Interpolation problems in nest algebras (1975) (334)
Notes on extensions of $C^*$-algebras (1977) (297)
Continuous Analogues of Fock Space (1989) (259)
Subalgebras ofC*-algebras II (1972) (243)
Operator Algebras and Invariant Subspaces (1974) (224)
A Short Course on Spectral Theory (2001) (203)
Noncommutative Dynamics and E-Semigroups (2003) (194)
Analyticity in Operator Algebras (1967) (182)
The noncommutative Choquet boundary (2007) (137)
On groups of automorphisms of operator algebras (1974) (132)
The curvature invariant of a Hilbert module over C[z_1,...,z_d] (1998) (124)
Operator algebras and measure preserving automorphisms (1967) (109)
C*-Algebras and Numerical Linear Algebra (1992) (93)
The Dirac Operator of a Commuting d-Tuple (2000) (86)
A density theorem for operator algebras (1967) (78)
p-Summable Commutators in Dimension d (2003) (75)
Diagonals of self-adjoint operators (2005) (75)
Operator algebras and measure preserving automorphisms II (1969) (68)
Continuous analogues of Fock space IV: essential states (1990) (66)
Quotients of standard Hilbert modules (2005) (66)
The noncommutative Choquet boundary II: Hyperrigidity (2008) (64)
Ten Lectures On Operator Algebras (1984) (61)
The Index of a Quantum Dynamical Semigroup (1997) (48)
Continuous analogues of Fock space. II. The spectral C∗-algebra (1990) (44)
SEPARATING PARTIAL NORMALITY CLASSES WITH COMPOSITION OPERATORS (2005) (43)
Diagonals of normal operators with finite spectrum (2006) (41)
An addition formula for the index of semigroups of endomorphisms of $B(H)$. (1989) (40)
Pure E0-Semigroups and Absorbing States (1997) (38)
EXTENSIONS OF K BY C(X) (2003) (36)
THE ROLE OF C ∗ -ALGEBRAS IN INFINITE DIMENSIONAL NUMERICAL LINEAR ALGEBRA (1993) (36)
Dilation Theory Yesterday and Today (2009) (35)
Operator theory : operator algebras and applications (1990) (31)
Quantization and the uniqueness of invariant structures (1983) (28)
NOTES ON THE UNIQUE EXTENSION PROPERTY (2003) (28)
Operator Theory/Operator Algebras and Applications, Part 1 (1990) (28)
ON THE INDEX AND DILATIONS OF COMPLETELY POSITIVE SEMIGROUPS (1997) (27)
The curvature of a Hilbert module over. (1999) (26)
Improper filtrations for C*-algebras: spectra of unilateral tridiagonal operators (1992) (25)
THE NONCOMMUTATIVE CHOQUET BOUNDARY III: OPERATOR SYSTEMS IN MATRIX ALGEBRAS (2008) (25)
A note on extensions of semigroups of *-endomorphisms (1992) (22)
Unitary invariants for compact operators (1970) (22)
The domain algebra of a CP-semigroup (2000) (21)
Quantization, nonlinear partial differential equations, and operator algebra : 1994 John von Neumann Symposium on Quantization and Nonlinear Wave Equations, June 7-11, 1994, Massachusetts Institute of Technology, Cambridge, Massachusetts (1996) (19)
Perturbation theory for groups and lattices (1983) (19)
Maximal vectors in Hilbert space and quantum entanglement (2008) (19)
Quantum channels that preserve entanglement (2008) (18)
Discretized CCR algebras (1992) (18)
Markov operators and OS-positive processes (1986) (18)
A note on invariant subspaces. (1968) (17)
The Probability of Entanglement (2007) (16)
The Heat Flow of the CCR Algebra (2000) (16)
The asymptotic lift of a completely positive map (2006) (15)
Commutative subspace lattices (1984) (15)
On the existence of $E_0$-semigroups (2006) (15)
The free cover of a row contraction (2004) (15)
A theorem on the action of abelian unitary groups (1966) (13)
The noncommutative Choquet Boundary III (2010) (13)
ON THE EXISTENCE OF E0-SEMIGROUPS (2006) (13)
Four Lectures on Noncommutative Dynamics (2002) (12)
The curvature of a Hilbert module over ℂ[z1, … , zd] (1999) (12)
Interactions in Noncommutative Dynamics (1999) (12)
Path Spaces, Continuous Tensor Products, and E0-Semigroups (1994) (11)
NON-COMMUTATIVE SPHERES AND NUMERICAL QUANTUM MECHANICS (1992) (11)
Operators on Hilbert Space (2002) (10)
DYNAMICAL INVARIANTS FOR NONCOMMUTATIVE FLOWS (1995) (9)
ASYMPTOTIC STABILITY I: COMPLETELY POSITIVE MAPS (2003) (8)
C*-ALGEBRAS ASSOCIATED WITH SETS OF SEMIGROUPS OF ISOMETRIES (1991) (8)
SHIFTS AS MODELS FOR SPECTRAL DECOMPOSABILITY ON HILBERT SPACE (2006) (7)
Generators of Noncommutative Dynamics (2002) (6)
A spectral theorem for nonlinear operators (1976) (6)
Operator algebras and operator theory (1992) (5)
The Structure of Spin Systems (2001) (5)
A NOTE ON ESSENTIALLY NORMAL OPERATORS (2016) (5)
E 0-SEMIGROUPS IN QUANTUM FIELD THEORY (2001) (5)
Generators of non-commutative dynamics (2002) (5)
Infinite tensor products of completely positive semigroups (2001) (5)
Lifting endomorphisms to automorphisms (2007) (5)
ASYMPTOTIC LIFTS OF POSITIVE LINEAR MAPS (2006) (4)
Path spaces, continuous tensor products, and E0semigroups, Operator Algebras and Applications (1997) (4)
NONCOMMUTATIVE POISSON BOUNDARIES (2004) (4)
Continuous Tensor Products (2003) (3)
Minimal E0–semigroups (1997) (3)
An algebraic conjugacy invariant for measure preserving transformations (1967) (3)
WHAT IS AN OPERATOR SPACE (2008) (3)
Spectral Theory and Banach Algebras (2002) (2)
Reflexive operator algebras (1984) (2)
Lattices of invariant subspaces (1972) (2)
Representations Of C*-Algebras (1971) (2)
Minimal E_0-semigroups (1995) (1)
Lectures on topology and analysis and notes on measure and integration in locally compact spaces (1993) (1)
Continuous nests and the absorption principle (1985) (1)
SEVERAL PROBLEMS IN OPERATOR THEORY (2003) (1)
The absorption principle (1984) (1)
From random sets to continuous tensor products : answers to three questions of (2000) (1)
Operator Algebras and Topology (1992) (1)
The Universal A-Dynamical System (2003) (0)
NOTES ON PRODUCT SYSTEMS (2006) (0)
Noncommutative flows I: dynamical invariants (1995) (0)
Similarity of reflexive operator algebras (1984) (0)
M ay 1 99 7 PURE E 0-SEMIGROUPS AND ABSORBING STATES (1997) (0)
Asymptotics: Compact Perturbations and Fredholm Theory (2002) (0)
THE NONCOMMUTATIVE HAHN-BANACH THEOREMS (2003) (0)
EXTENSIONS AND LIFTINGS (2003) (0)
Addendum: ``Quantization and the uniqueness of invariant structures'' (1984) (0)
NOTES ON THE LIFTING THEOREM (2003) (0)
Index Theory for CP -Semigroups (2003) (0)
Pure Perturbations of CAR/CCR Flows (2003) (0)
REFERENCES: COMPELTELY POSITIVE MAPS (2003) (0)
C*-Generators and Dilation Theory (2003) (0)
Tsirelson—Vershik Product Systems (2003) (0)
Quantization and the uniqueness of invariant structures (1983) (0)
QUOTIENTS OF STANDARD (2005) (0)
Decomposable Product Systems (2003) (0)
Nonselfadjoint operator algebras and the Feynman-Kac formula (1984) (0)
Extensions of the Concept of Numerical Range (2016) (0)
Methods and Applications (2002) (0)
Triangular and quasitriangular operator algebras (1984) (0)
PEM volume 33 issue 3 Cover and Back matter (1990) (0)
LOCAL MULTIPLIER ALGEBRAS , INJECTIVE ENVELOPES , AND TYPE (2008) (0)
Lectures 7 and 8. Hyperreflexive operator algebras (1984) (0)
Book Review: $C^{*}$-algebras by example (1997) (0)
————————- the Curvature Invariant of A (2008) (0)
From Commutative Algebras to GCR Algebras (1976) (0)
Origins in single operator theory (1984) (0)
PEM volume 35 issue 3 Cover and Back matter (1992) (0)
Helson and subdiagonal operator algebras (2011) (0)
ARVESON’S WORK ON ENTANGLEMENT (2014) (0)
Brief on quantum mechanics and Schrödinger operators (1984) (0)
Improper Filtrations for C (2008) (0)
Spectral C*-Algebras (2003) (0)
A DECOMPOSITION THEOREM FOR OPERATORS ON L (2007) (0)

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