Sheldon Axler | Academic Influence

Sheldon Axler's AcademicInfluence.com Rankings

Sheldon Axler

Mathematics

#237

World Rank

#516

Historical Rank

#112

USA Rank

Measure Theory

#1385

World Rank

#1737

Historical Rank

#480

USA Rank

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Mathematics

Sheldon Axler's Degrees

Bachelors Mathematics Princeton University

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Why Is Sheldon Axler Influential?

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According to Wikipedia, Sheldon Jay Axler is an American mathematician and textbook author. He is a professor of mathematics and the Dean of the College of Science and Engineering at San Francisco State University. He graduated from Miami Palmetto Senior High School in Miami, Florida in 1967. He obtained his AB in mathematics with highest honors at Princeton University and his PhD in mathematics, under professor Donald Sarason, from the University of California, Berkeley" in 1975. As a postdoc, he was a C. L. E. Moore instructor at the Massachusetts Institute of Technology.

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Sheldon Axler'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

Harmonic Function Theory (1992) (1272)
Linear Algebra Done Right (1995) (553)
The Bergman space, the Bloch space, and commutators of multiplication operators (1986) (179)
Compact Operators via the Berezin Transform (1998) (176)
Commuting Toeplitz operators with harmonic symbols (1991) (160)
Products of Toeplitz operators (1978) (126)
Commutants of analytic Toeplitz operators on the Bergman space (1998) (74)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
Harmonic Functions from a Complex Analysis Viewpoint (1986) (50)
Toeplitz Operators on Bergman Spaces (1982) (47)
The Berezin transform on the Toeplitz algebra (2002) (46)
Approximation by Compact Operators and the Space Hînfty + C (1979) (42)
Multiplication operators on Bergman spaces. (1982) (39)
Putnam's theorem, Alexander's spectral area estimate, and VMO (1985) (38)
Finite-codimensional invariant subspaces of Bergman spaces (1988) (31)
Harmonic polynomials and Dirichlet-type problems (1995) (30)
Factorization of L ∞ Functions (1977) (30)
The Dirichlet problem on quadratic surfaces (2002) (29)
Divisibility in Douglas algebras. (1984) (28)
Univalent multipliers of the Dirichlet space. (1985) (28)
The essential norm of an operator and its adjoint (1980) (28)
Down With Determinants ! (2002) (26)
Algebras on the disk and doubly commuting multiplication operators (1988) (23)
Zero Multipliers of Bergman Spaces (1985) (23)
Measure, Integration & Real Analysis (2019) (20)
DOWN WITH DETERMINANTS (1995) (19)
Inner Product Spaces (2015) (19)
A Taste of Topology (2005) (17)
Sequences in the maximal ideal space of (1990) (15)
Bôcher's theorem (1992) (15)
The Four Pillars of Geometry (2005) (14)
Interpolation by Multipliers of the Dirichlet Space (1992) (14)
Boundary behavior of derivatives of analytic functions. (1992) (12)
Probability Measures (2019) (12)
The Life of Stefan Banach. (1997) (11)
A Glimpse at Hilbert Space Operators (2010) (9)
EXTENSIONS OF HARMONIC AND ANALYTIC FUNCTIONS (1990) (8)
Toeplitz algebras on the disk (2007) (4)
SEQUENCES IN THE MAXIMAL IDEAL SPACE OF 77 ° ° (2010) (4)
The Decomposition Theorem (1992) (3)
Boˆher's theorem (1992) (3)
Paul Halmos and Toeplitz Operators (1991) (2)
A glimpse at Hilbert space operators : Paul R. Halmos in memoriam (2010) (2)
Review: K. E. Petersen, Brownian motion, Hardy spaces and bounded mean oscillation (1978) (2)
Bounded Harmonic Functions (1992) (2)
Eigenvalues, Eigenvectors, and Invariant Subspaces (2015) (2)
The Dual of H1 (1980) (1)
Precalculus : a prelude to calculus : with student solutions manual (2009) (1)
Positive Harmonic Functions (1992) (1)
Basic Properties of Harmonic Functions (1992) (1)
Hilbert Spaces (2019) (1)
Operators on Inner Product Spaces (2015) (1)
The Kelvin Transform (1992) (1)
The Linear Algebra Curriculum Study Group (LACSG 2.0) Recommendations (2022) (1)
The Dual of H 1 (1980) (1)
How Not to Write a Mathematics Textbook (2011) (0)
Publications of Paul R. Halmos (2010) (0)
INTEGRATION WORKSHOP 2007: LINEAR ALGEBRA LECTURE PLAN (2007) (0)
Fourier Analysis (2019) (0)
Factorization of Lw functions (1977) (0)
Measures (2019) (0)
Review: Stephen D. Fisher, Function theory on planar domains, a second course in complex analysis (1984) (0)
Harmonic Functions on Half-Spaces (1992) (0)
Poetry Contest (1989) (0)
Linear Maps on Hilbert Spaces (2019) (0)
Operators on Complex Vector Spaces (2015) (0)
Real and Complex Measures (2019) (0)
Finite-Dimensional Vector Spaces (2015) (0)
Operators on Real Vector Spaces (2015) (0)
Trace and Determinant (2015) (0)
Riemann Integration (2019) (0)
Banach Spaces (2019) (0)
Linear Algebra Done Right -3/E (2020) (0)
Advanced Calculus.@@@A Formal Background to Mathematics: A Critical Approach to Elementary Analysis. (1982) (0)
Integration (2019) (0)
Differentiation (2019) (0)
Letters to the editor (0)
D ec 2 00 2 The Berezin Transform on the Toeplitz Algebra (1998) (0)
Book reviews (1981) (0)
Product Measures (2019) (0)
The Neumann problem on ellipsoids (2017) (0)
Harmonic Hardy Spaces (1992) (0)
Algebra & Trigonometry: With Student Solutions Manual (2011) (0)
Basic Algebraic Topology (2005) (0)
Poetry contest (1989) (0)
Computing with Harmonic Functions (2015) (0)
College Algebra: With Student Solutions Manual (2010) (0)
Book Review A Doubter's Almanac (2017) (0)
Harmonic Bergman Spaces (1992) (0)
Hankel and toeplitz operators (1984) (0)
The Neumann problem on ellipsoids (2016) (0)
Systems of Continuos Functions (2005) (0)
Some of us pursue careers in mathematics; others have chosen divergent paths. But there can be few indeed who participated in Dr. Ross's summer programs without being profoundly (2016) (0)
Lp Spaces (2019) (0)
Set-Theoritic Topology (2005) (0)
The Dirichlet Problem and Boundary Behavior (1992) (0)

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