Ronald G. Douglas | Academic Influence

Ronald G. Douglas's AcademicInfluence.com Rankings

Ronald G. Douglas

Mathematics

#959

World Rank

#1665

Historical Rank

#418

USA Rank

Functional Analysis

#19

World Rank

#32

Historical Rank

#4

USA Rank

Measure Theory

#624

World Rank

#857

Historical Rank

#254

USA Rank

mathematics Degrees

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Mathematics

Ronald G. Douglas'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 Ronald G. Douglas Influential?

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According to Wikipedia, Ronald George Douglas was an American mathematician, best known for his work on operator theory and operator algebras. Education and career Douglas was born in Osgood, Indiana. He was an undergraduate at the Illinois Institute of Technology, and received his Ph.D. in 1962 from Louisiana State University as a student of Pasquale Porcelli. He was at the University of Michigan until 1969, when he moved to the State University of New York at Stony Brook. Beginning in 1986 he moved into university administration, eventually becoming Vice Provost at Stony Brook in 1990, and Provost at Texas A&M University from 1996 until 2002. At the time of his death, he was Distinguished Professor in the Department of Mathematics at Texas A&M. He is survived by three children, including Michael R. Douglas, a noted string theorist.

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Ronald G. Douglas'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

Banach Algebra Techniques in Operator Theory (1972) (1241)
On majorization, factorization, and range inclusion of operators on Hilbert space (1966) (968)
Extensions of C*-algebras and K-homology (1977) (473)
Unitary equivalence modulo the compact operators and extensions of C*-algebras (1973) (367)
Complex geometry and operator theory (1978) (353)
Cyclic vectors and invariant subspaces for the backward shift operator (1970) (260)
Hilbert Modules over Function Algebras (1989) (250)
Banach algebra techniques in the theory of Toeplitz operators (1973) (221)
A class of subnormal operators related to multiply-connected domains☆ (1976) (133)
Contractive projections on an ${\germ L}_{1}$ space. (1965) (104)
Adiabatic limits of the η-invariants the odd-dimensional Atiyah-Patodi-Singer problem (1991) (97)
On extremal measures and subspace density. (1964) (94)
On the C*-algebra of a one-parameter semigroup of isometries: In memory of David M. topping (1972) (93)
The Hardy Spaces (1998) (91)
TOPOLOGICAL SPACE (80)
On the *-algebra of Toeplitz operators on the quarterplane (1971) (80)
Invariant subspaces in the polydisk (1986) (77)
Cycles and relative cycles in analytic $K$-homology (1989) (73)
Operator theory in the Hardy space over the bidisk (I) (2000) (71)
APPROXIMATION BY INNER FUNCTIONS (1969) (71)
C*-Algebra Extensions And K-Homology (1980) (70)
Lifting commuting operators. (1968) (69)
Reducing subspaces for analytic multipliers of the Bergman space (2011) (69)
C*-algebras of operators on a half-space II: Index theory (1971) (69)
Extensions of $C^*$-algebras, operators with compact self-commutators, and $K$-homology (1973) (67)
Multiplication operators on the Bergman space via analytic continuation (2009) (65)
Translation operators on the half-line. (1969) (64)
C*-Algebra Extensions and K-Homology. (AM-95) (1980) (61)
Algebraic Reduction and Rigidity for Hilbert Modules (1995) (60)
Essentially Reductive Hilbert Modules (2004) (58)
Operator colligations in Hilbert spaces (1979) (58)
CONTRACTIVE PROJECTIONS ON AN L1 SPACE (2012) (54)
CONTRACTIVE PROJECTIONS ON AN L1 SPACE (2012) (54)
C*-algebras of operators on a half-space I (1971) (53)
On Quotient Modules—The Case of Arbitrary Multiplicity (2000) (53)
On Extending Commutative Semigroups of Isometries (1969) (51)
A new kind of index theorem (2005) (49)
Essentially Reductive Hilbert Modules II (2006) (47)
On a topology for invariant subspaces (1968) (46)
A note on quasitriangular operators (1970) (45)
A harmonic analysis approach to essential normality of principal submodules (2011) (44)
Von Neumann algebras with a single generator. (1969) (44)
Local Toeplitz Operators (1978) (39)
Equivalence of quotient Hilbert modules (2003) (38)
Fredholm Toeplitz operators (1970) (36)
An Analytic Grothendieck Riemann Roch Theorem (2014) (34)
On the Spectrum of Toeplitz and Wiener—Hopf Operators (1969) (34)
Operator theory and algebraic geometry (1989) (34)
Localization of Hilbert modules. (1992) (32)
Toeplitz Operators with Locally Sectorial Symbols (1970) (32)
Operator theory : operator algebras and applications (1990) (31)
Hyperinvariant subspaces and transitive algebras. (1972) (31)
Relative K homology and C* algebras (1991) (30)
Toeplitz Operators and Poincaré Duality (1982) (30)
Geometric invariants for resolutions of Hilbert modules (1998) (30)
Quasi-Free Resolutions Of Hilbert Modules (2003) (30)
Contractive Hilbert modules and their dilations (2009) (29)
Cyclic cocycles, renormalization and eta-invariants (1991) (28)
Operator Theory/Operator Algebras and Applications, Part 1 (1990) (28)
ESSENTIALLY REDUCTIVE WEIGHTED SHIFT HILBERT MODULES (2008) (27)
Some calculations for Hilbert modules (1993) (27)
An index theorem for Wiener-Hopf operators on the discrete quarter-plane (1972) (26)
Toeplitz and Wiener-Hopf operators in $H^\infty +C$ (1968) (26)
On cyclic vectors of the backward shift (1967) (26)
Structure theory for operators. I. (1968) (25)
Operator Theory and Complex Geometry (2007) (23)
On Invariant Subspaces of Quasitriangular Operators (1969) (23)
On the rigidity of Hardy submodules (1990) (23)
Equivalence of connections (1985) (22)
Canonical Models for Bi-isometries (2010) (22)
Multivariable Operator Theory (1995) (22)
The generalized Berezin transform and commutator ideals (2004) (21)
The longitudinal cocycle and the index of Toeplitz operators (1991) (21)
Similarity of n‐hypercontractions and backward Bergman shifts (2013) (20)
Invariant subspaces of non-quasitriangular operators (1973) (20)
Equivalence of quotient Hilbert modules–II (2005) (19)
Reducing Subspaces on the Annulus (2009) (18)
Index formulas for geometric Dirac operators in Riemannian foliations (1995) (18)
On the double commutant of Cowen–Douglas operators (2011) (17)
Curvature invariant and generalized canonical Operator models - I (2010) (16)
On unitarily equivalent submodules (2007) (15)
Hermitian Geometry on Resolvent Set (2016) (14)
On the Spectrum of a Class of Toeplitz Operators (1968) (14)
Topics in Modern Operator Theory (1981) (14)
Partially isometric Toeplitz operators (1965) (14)
Geometric Arveson-Douglas Conjecture and Holomorphic Extension (2015) (14)
QUOTIENT HARDY MODULES (1998) (13)
On the Smoothness of Elements of Ext (1981) (13)
Confluent operator algebras and the closability property (2009) (13)
Spectral theory of generalized Toeplitz operators (1965) (13)
Some geometric invariants from resolutions of Hilbert modules (2001) (12)
A geometric approach to finite rank unitary perturbations (2011) (12)
Advances in Invariant Subspaces and Other Results of Operator Theory : 9th International Conference on Operator Theory, Timişoara, and Herculane (Romania), June 4-14, 1984 (2012) (12)
Quasi-similar models for nilpotent operators (1976) (12)
ALGEBRAIC REDUCTION FOR HARDY SUBMODULES OVER POLYDISK ALGEBRAS (2007) (11)
The corona problem : connections between operator theory, function theory, and geometry (2014) (11)
Essential Normality of Cyclic Submodule Generated by any Polynomial (2011) (11)
On Moduli for Invariant Subspaces (1982) (10)
Eta-invariants and von Neumann algebras (1989) (10)
On theC*-algebra of a one-parameter semigroup of isometries (1972) (10)
Some Remarks on the Toeplitz Corona problem (2009) (10)
Resolutions of Hilbert Modules and Similarity (2009) (9)
Geometric Arveson-Douglas Conjecture and Holomorphic Extensions (2016) (9)
On extremal measures and subspace density. II (1966) (9)
On the measure-theoretic character of an invariant mean (1965) (8)
Some Remarks on Essentially Normal Submodules (2012) (8)
Bi-isometries and commutant lifting (2008) (8)
On Lattices and Algebras of Real Valued Functions (1965) (8)
A History of the Corona Problem (2014) (8)
On quotient modules (2001) (7)
On the hyperinvariant subspaces for isometries (1968) (7)
Invariant expectations and vanishing of bounded cohomology for exact groups (2010) (7)
On Šilov Resolution of Hilbert Modules (1988) (7)
Spectral Inclusion Theorems (2012) (7)
A local theory for operator tuples in the Cowen–Douglas class (2017) (6)
Spectral Multiplicity and Odd K-theory (2008) (6)
Geometric Arveson–Douglas Conjecture-Decomposition of Varieties (2017) (6)
Generalized Bundle Shift with Application to Multiplication operator on the Bergman space (2014) (5)
Hermitian geometry on the resolvent set (II) (2021) (5)
Hilbert C*-modules and amenable actions (2009) (5)
On the clssification of multi-isometries (2006) (5)
On the p-essential normality of principal submodules of the Bergman module on strongly pseudoconvex domains (2017) (5)
Recent advances in operator theory and applications (2005) (5)
Analytic Realization of Relative K-Homology on Manifolds with Boundary and Pairing with K-Cohomology (1989) (5)
Variations on a theme of Beurling (2010) (4)
A new index theorem for monomial ideals by resolutions (2017) (4)
Connections of the Corona Problem with Operator Theory and Complex Geometry (2012) (4)
Induced Cyclic Cocycles and Higher Eta Invariants (1997) (4)
Similarity of Operators in the Bergman Space Setting (2012) (4)
Invariant Subspaces and Other Topics (1982) (4)
Hyperinvariant subspaces via topological properties of lattices. (1973) (4)
Ideals in Toeplitz Algebras (2003) (3)
Operator algebras and K-theory (1982) (3)
A Note on Semi-Fredholm Hilbert Modules (2009) (3)
On the spectral theorem for normal operators (1970) (3)
Subisometric Dilations and the Commutant Lifting Theorem (1984) (3)
Contractive Hilbert modules and their dilations over natural function algebras (2009) (3)
The Corona Problem (2014) (2)
A Necessary and Sufficient Condition that an Operator be Normal (1968) (2)
On the inversion invariance of invariant means (1965) (2)
ESSENTIAL NORMALITY OF PRINCIPAL SUBMODULES OF THE HARDY MODULE ON A STRONGLY PSEUDOCONVEX DOMAIN (2019) (2)
Review: Bernhelm Booss, Topologie und analysis, and Patrick Shanahan, The Atiyah-Singer index theorem; an introduction (1980) (1)
CHARACTERIZING QUOTIENT HILBERT MODULES (1)
Shift Operators on the C 2 -valued Hardy Space (2019) (1)
Every finitely generated group is weakly exact (2011) (1)
Hilbert Modules and Complex Geometry (2009) (1)
One Needs More than the Algorithmic Approach (1985) (1)
Elliptic invariants and operator algebras: toroidal examples (1989) (1)
Transitivity and bundle shifts (2014) (1)
Multivariate Operator Theory (2010) (1)
Spectral multiplicity and odd K-theory-II (2012) (1)
Hot topics in operator theory : conference proceedings, Timişoara, June 29 - July 4, 2006 (2008) (0)
Reforming Calculus (1998) (0)
Geometry of Hilbert Space (1998) (0)
Operators on Hilbert Space and C*-Algebras (1998) (0)
A cohomological characterization of exact groups (2010) (0)
Index of Symbols (1980) (0)
Ju l 2 00 6 Essentially Reductive Hilbert Modules II (2019) (0)
INCLUSION OF OPERATORS ON HILBERT SPACE (2016) (0)
12.4. Localization of toeplitz operators (1984) (0)
Chapter 6. Index Theorems snd Novikov’s Higher Signatures (1980) (0)
Chapter 2. Ext as a Group (1980) (0)
Hermitian geometry on the resolvent set (II) (2021) (0)
Compact Operators, Fredholm Operators, and Index Theory (1998) (0)
Structure of L(,p) Spaces. (1962) (0)
Fe b 20 09 A NOTE ON SEMI-FREDHOLM HILBERT MODULES (0)
F. F. Bonsall and J. Duncan, Numerical Ranges II (Cambridge University Press, 1973), vii + 179 pp., £2·40. (1975) (0)
FA ] 8 S ep 2 00 4 On quasi-free Hilbert modules ∗ (2008) (0)
On the Hyperinvariant Subspaces for Isometrics (2005) (0)
THE EXTENDED ALUTHGE TRANSFORM (2019) (0)
9th international conference on Advances in invariant subspaces and other results of operator theory (1986) (0)
2 6 Ju l 2 00 5 A new kind of index theorem ∗ (2005) (0)
Chapter 5. Ext as K-Homology (1980) (0)
Linear Topological Space (2005) (0)
A geometric approach to rank one perturbations via the theory of dilations (2011) (0)
Standard book numbering and the ISBN agency for Zimbabwe (1995) (0)
ON THE INVERSION INVARIANCE OF (2016) (0)
Transitivity of Bundle Shift (2014) (0)
FREDHOLM TOEPLITZ OPERATORS 1 (2010) (0)
Operator Algebras and -Theory (1982) (0)
Chapter 3. Ext as a Homotopy Functor (1980) (0)
Shift Operators on the ${\Bbb C}^2$-valued Hardy Space (2007) (0)
Chapter 1. An Overview (1980) (0)
Chapter 4. Generalized Homology Theory and Periodicity (1980) (0)
O A ] 7 A pr 2 00 4 Essentially Reductive Hilbert Modules (2004) (0)
Book Review: Equations in Linear Spaces (1971) (0)
ON EXTREMAL MEASURES AND (2016) (0)
ESSENTIAL NORMALITY-A UNIFIED APPROACH IN TERMS OF LOCAL DECOMPOSITIONS (2022) (0)
Letters to the editor (1989) (0)
Hankel and toeplitz operators (1984) (0)
SPECTRAL THEORY OF GENERALIZED (2016) (0)
Contractive Hilbert modules and their dilations over the polydisk algebra (2009) (0)
Contractive Hilbert modules and their dilations (2012) (0)
FREDHOLM TOEPLITZ OPERATORS1 (2010) (0)
Book Review: Topologie und analysis (1980) (0)
Generalized group algebras (1966) (0)
Quotient Hilbert modules similar to the canonical Hilbert module (2009) (0)

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