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Douglas, Ronald George

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Author ID: douglas.ronald-george Recent zbMATH articles by "Douglas, Ronald George"
Published as: Douglas, R. G.; Douglas, Ronald G.; Douglas, Ronald George
Further Spellings: Douglas R G
External Links: MGP · Wikidata · Math-Net.Ru · dblp · IdRef
Documents Indexed: 170 Publications since 1964, including 5 Books
12 Contributions as Editor · 3 Further Contributions
Reviewing Activity: 9 Reviews
Biographic References: 4 Publications
Co-Authors: 93 Co-Authors with 131 Joint Publications
2,141 Co-Co-Authors
all top 5

Co-Authors

49 single-authored
14 Pearcy, Carl Mark Jr.
12 Foiaş, Ciprian Ilie
9 Misra, Gadadhar
8 Sarkar, Jaydeb
7 Kaminker, Jerome
6 Cowen, Michael J.
5 Baum, Paul Frank
5 Szőkefalvi-Nagy, Béla
5 Yan, Keren
4 Bercovici, Hari
4 Coburn, Lewis A.
4 Davidson, Kenneth R.
4 Hurder, Steven E.
4 Paulsen, Vern Ival
4 Sarason, Donald Erik
4 Voiculescu, Dan-Virgil
4 Yang, Rongwei
3 Apostol, Constantin Gelu
3 Arsene, Grigore
3 Brown, Lawrence Gerald
3 Clark, Douglas Napier
3 Eschmeier, Jorg
3 Fillmore, Peter A.
3 Kim, Yun-Su
3 Kwon, Hyun-kyoung
3 Muhly, Paul Scott
3 Nowak, Piotr W.
3 Treil, Sergei
3 Wang, Kai
3 Yu, Guoliang
2 Abrahamse, M. B.
2 Arveson, William Barnes
2 Brown, Arlen
2 Chen, Xiaoman
2 Effros, Edward George
2 Faddeev, Lyudvig Dmitrievich
2 Helson, Henry
2 Howe, Roger Evans
2 Jørgensen, Palle E. T.
2 Kadison, Richard Vincent
2 Kaskutas, Lee Ann
2 Krantz, Steven George
2 Laca, Marcelo
2 Leiterer, Jürgen
2 Markiewicz, Daniel
2 McKean, Henry P. jun.
2 Naboko, Serguei N.
2 Nikol’skiĭ, Nikolaĭ Kapitonovich
2 Pavlov, Boris Sergeevich
2 Peller, Vladimir Vsevolodovich
2 Pitts, David R.
2 Powers, Robert T.
2 Price, Geoffrey L.
2 Putnam, Calvin R.
2 Sakhnovych, Lev Aronovych
2 Salinas, Norberto
2 Sawyer, Eric T.
2 Shapiro, Harold Seymour
2 Shields, Allen L.
2 Singer, Isadore Manuel
2 Smyth, M. R. F.
2 Størmer, Erling
2 Tang, Xiang
2 Upmeier, Harald
2 Varughese, Cherian
2 Vasilescu, Florian-Horia
2 Vasyunin, Vasiliĭ Ivanovich
2 Vershik, Anatoliĭ Moiseevich
2 West, Timothy Trevor
2 Wojciechowski, Krzysztof P.
2 Xu, Anjian
1 Agrawal, Om Prakash
1 Anastasio, Sal
1 Ching, Wai-Mee
1 Curto, Raúl Enrique
1 Deckard, Don
1 Esterle, Jean
1 Fisher, Joseph A.
1 Gaşpar, Dumitru
1 Glazebrook, James F.
1 Guo, Kunyu
1 Helton, John William
1 Jabbari, Mohammad
1 Kamber, Franz W.
1 Keshari, Dinesh Kumar
1 Kurpel, Nikolay Stepanovich
1 Lax, Peter David
1 Liaw, Constanze
1 Nakazi, Takahiko
1 Nirenberg, Louis
1 Pincus, Joel D.
1 Porta, Horacio A.
1 Putinar, Mihai
1 Rosenthal, Peter
1 Rudin, Walter
1 Sah, Chih-Han
1 Schaeffer, David G.
1 Schochet, Claude L.
1 Seto, Michio
1 Sharir, Micha
...and 13 more Co-Authors
all top 5

Serials

11 Journal of Functional Analysis
9 Acta Scientiarum Mathematicarum
8 Indiana University Mathematics Journal
6 Michigan Mathematical Journal
6 Proceedings of the American Mathematical Society
5 Advances in Mathematics
5 Journal of Operator Theory
4 Integral Equations and Operator Theory
4 Pacific Journal of Mathematics
4 Transactions of the American Mathematical Society
4 Bulletin of the American Mathematical Society
3 Houston Journal of Mathematics
3 Notices of the American Mathematical Society
3 The New York Journal of Mathematics
3 Operator Theory: Advances and Applications
2 Revue Roumaine de Mathématiques Pures et Appliquées
2 Acta Mathematica
2 American Journal of Mathematics
2 Publications Mathématiques
2 Journal of Differential Geometry
2 \(K\)-Theory
2 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences
2 Bulletin of the American Mathematical Society. New Series
2 Oberwolfach Reports
2 Journal of Mathematics and Mechanics
2 Contemporary Mathematics
2 Proceedings of Symposia in Pure Mathematics
1 American Mathematical Monthly
1 Communications in Mathematical Physics
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Studia Mathematica
1 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică
1 Annales de l’Institut Fourier
1 Bulletin of the London Mathematical Society
1 Duke Mathematical Journal
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematische Zeitschrift
1 Proceedings of the London Mathematical Society. Third Series
1 Zeitschrift für Analysis und ihre Anwendungen
1 Extracta Mathematicae
1 The Journal of Geometric Analysis
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Annals of Mathematics. Second Series
1 Proceedings of the Cambridge Philosophical Society
1 Pure and Applied Mathematics Quarterly
1 Annals of Mathematics Studies
1 Fields Institute Communications
1 Graduate Texts in Mathematics
1 Regional Conference Series in Mathematics
1 Translations of Mathematical Monographs
1 Theta Series in Advanced Mathematics
1 Complex Analysis and Operator Theory
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Journal of Topology and Analysis
1 Science China. Mathematics

Publications by Year

Citations contained in zbMATH Open

146 Publications have been cited 3,026 times in 2,150 Documents Cited by Year
On majorization, factorization, and range inclusion of operators on Hilbert space. Zbl 0146.12503
Douglas, R. G.
370
1966
Banach algebra techniques in operator theory. Zbl 0247.47001
Douglas, Ronald G.
348
1972
Complex geometry and operator theory. Zbl 0427.47016
Cowen, M. J.; Douglas, R. G.
154
1978
Extensions of \(C^*\)-algebras and \(K\)-homology. Zbl 0376.46036
Brown, L. G.; Douglas, R. G.; Fillmore, P. A.
142
1977
Banach algebra techniques in operator theory. 2nd ed. Zbl 0920.47001
Douglas, Ronald G.
135
1998
Cyclic vectors and invariant subspaces of the backward shift operator. Zbl 0186.45302
Douglas, R. G.; Shapiro, H. S.; Shields, A. L.
116
1970
Unitary equivalence modulo the compact operators and extensions of C\(^*\)- algebras. Zbl 0277.46053
Brown, L. G.; Douglas, R. G.; Fillmore, P. A.
103
1973
Hilbert modules over function algebras. Zbl 0686.46035
Douglas, Ronald G.; Paulsen, Vern I.
77
1989
On the \(C^*\)-algebra of a one-parameter semigroup of isometries. Zbl 0232.46063
Douglas, R. G.
61
1972
Banach algebra techniques in the theory of Toeplitz operators. Zbl 0252.47025
Douglas, R. G.
60
1973
A class of subnormal operators related to multiply-connected domains. Zbl 0321.47019
Abrahamse, M. B.; Douglas, R. G.
56
1976
On the operator equation \(S^*XT=X\) and related topics. Zbl 0177.19204
Douglas, R. G.
55
1969
Contractive projections on an \(L_ 1\) space. Zbl 0148.12203
Douglas, R. G.
53
1965
On the \(C^ *\)-algebra of Toeplitz operators on the quarter-plane. Zbl 0224.47015
Douglas, R. G.; Howe, Roger
46
1971
On extremal measures and subspace density. Zbl 0121.33102
Douglas, R. G.
43
1964
\(C^*\)-algebras of operators on a half-space. II: Index theory. Zbl 0241.47027
Coburn, Lewis A.; Douglas, R. G.; Schaeffer, D. G.; Singer, I. M.
40
1971
Reducing subspaces for analytic multipliers of the Bergman space. Zbl 1275.47071
Douglas, Ronald G.; Putinar, Mihai; Wang, Kai
33
2012
Lifting commuting operators. Zbl 0174.18202
Douglas, R. G.; Muhly, P. S.; Pearcy, C.
32
1968
Invariant subspaces in the polydisk. Zbl 0609.47012
Agrawal, O. P.; Clark, D. N.; Douglas, R. G.
32
1986
Multiplication operators on the Bergman space via analytic continuation. Zbl 1216.47053
Douglas, Ronald G.; Sun, Shunhua; Zheng, Dechao
31
2011
Approximation by inner functions. Zbl 0189.13803
Douglas, R. G.; Rudin, W.
30
1969
On a topology for invariant subspaces. Zbl 0174.17903
Douglas, R. G.; Pearcy, C.
27
1968
Essentially reductive Hilbert modules. Zbl 1108.47030
Douglas, Ronald G.
27
2006
Cycles and relative cycles in analytic K-homology. Zbl 0697.58050
Baum, Paul; Douglas, Ronald G.; Taylor, Michael E.
26
1989
Adiabatic limits of the \(\eta\)-invariants. The odd-dimensional Atiyah- Patodi-Singer problem. Zbl 0746.58074
Douglas, Ronald G.; Wojciechowski, Krzysztof P.
25
1991
A note on quasitriangular operators. Zbl 0194.43901
Douglas, R. G.; Pearcy, C.
24
1970
Algebraic reduction and rigidity for Hilbert modules. Zbl 0833.46040
Douglas, R. G.; Paulsen, V. I.; Sah, C. H.; Yan, K.
24
1995
Inner dilations of analytic matrix functions and Darlington synthesis. Zbl 0267.30032
Douglas, R. G.; Helton, J. William
24
1973
K homology and index theory. Zbl 0532.55004
Baum, Paul; Douglas, Ronald G.
23
1982
\(C^*\)-algebras of operators on a half-space. I. Zbl 0241.47026
Coburn, Lewis A.; Douglas, R. G.
23
1971
Operator theory in the Hardy space over the bidisk. I. Zbl 0970.47016
Douglas, Ronald G.; Yang, Rongwei
22
2000
Translation operators on the half-line. Zbl 0181.40801
Coburn, Lewis A.; Douglas, R. G.
20
1969
Local Toeplitz operators. Zbl 0381.47018
Douglas, R. G.
20
1978
A harmonic analysis approach to essential normality of principal submodules. Zbl 1254.47004
Douglas, Ronald G.; Wang, Kai
19
2011
On extending commutative semigroups of isometries. Zbl 0187.06501
Douglas, R. G.
17
1969
On quotient modules – the case of arbitrary multiplicity. Zbl 0979.46034
Douglas, Ronald G.; Misra, Gadadhar; Varughese, Cherian
16
2000
Index theory, bordism, and K-homology. Zbl 0507.55004
Baum, Paul; Douglas, Ronald G.
16
1982
An index theorem for Wiener-Hopf operators on the discrete quarter-plane. Zbl 0252.47026
Coburn, Lewis A.; Douglas, R. G.; Singer, I. M.
15
1972
Hyperinvariant subspaces and transitive algebras. Zbl 0233.47005
Douglas, R. G.; Pearcy, Carl
15
1972
Operator theory and algebraic geometry. Zbl 0711.47004
Douglas, R. G.; Paulsen, Vern; Yan, Keren
15
1989
Extensions of C\(^*\)-algebras, operators with compact self-commutators, and K-homology. Zbl 0277.46052
Brown, L. G.; Douglas, R. G.; Fillmore, P. A.
15
1973
Equivalence of quotient Hilbert modules. II. Zbl 1140.46011
Douglas, Ronald G.; Misra, Gadadhar
15
2008
On the smoothness of sphere extensions. Zbl 0501.46055
Douglas, R. G.; Voiculescu, Dan
14
1981
\(C^*\)-algebra extensions and K-homology. Zbl 0458.46049
Douglas, Ronald G.
13
1980
On factoring positive operator functions. Zbl 0149.09901
Douglas, R. G.
13
1966
Cyclic cocycles, renormalization and eta-invariants. Zbl 0721.58049
Douglas, R. G.; Hurder, S.; Kaminker, J.
12
1991
An analytic Grothendieck Riemann Roch theorem. Zbl 1351.32011
Douglas, Ronald G.; Tang, Xiang; Yu, Guoliang
12
2016
Localization of Hilbert modules. Zbl 0807.46060
Chen, Xiaoman; Douglas, R. G.
11
1992
On the rigidity of Hardy submodules. Zbl 0727.46028
Douglas, R. G.; Yan, Keren
11
1990
Toeplitz and Wiener-Hopf operators in \(H^ \infty +C\). Zbl 0167.13004
Douglas, R. G.
11
1968
On invariant subspaces of quasitriangular operators. Zbl 0186.19206
Deckard, D.; Douglas, R. G.; Pearcy, C.
11
1969
Essentially reductive weighted shift Hilbert modules. Zbl 1249.46018
Douglas, Ronald G.; Sarkar, Jaydeb
11
2011
Reducing subspaces on the annulus. Zbl 1257.47011
Douglas, Ronald G.; Kim, Yun-Su
11
2011
Operators possessing an open set of eigenvalues. Zbl 0584.47002
Cowen, M. J.; Douglas, R. G.
11
1983
Geometric invariants for resolutions of Hilbert modules. Zbl 0918.46047
Douglas, Ronald G.; Misra, Gadadhar
10
1998
Equivalence of quotient Hilbert modules. Zbl 1066.46043
Douglas, Ronald G.; Misra, Gadahar
10
2003
Hilbert-Samuel polynomials for Hilbert modules. Zbl 0808.46068
Douglas, Ronald G.; Yan, Keren
10
1993
On cyclic vectors of the backward shift. Zbl 0152.13902
Douglas, R. G.; Shapiro, H. S.; Shields, A. L.
10
1967
On the classification of multi-isometries. Zbl 1164.47301
Bercovici, H.; Douglas, R. G.; Foias, C.
10
2006
A new kind of index theorem. Zbl 1140.47060
Douglas, Ronald G.
10
2006
Completely bounded maps and hypo-Dirichlet algebras. Zbl 0649.46053
Douglas, R. G.; Paulsen, V. I.
10
1986
Infinite dimensional versions of a theorem of Brickman-Fillmore. Zbl 0326.47021
Douglas, R. G.; Foiaş, Ciprian
10
1976
Canonical models for bi-isometries. Zbl 1266.47025
Bercovici, H.; Douglas, R. G.; Foias, C.
9
2012
On the invertibility of a class of Toeplitz operators on the quarter- plane. Zbl 0234.47029
Douglas, R. G.
9
1972
Structure theory for operators. I. Zbl 0164.44301
Douglas, R. G.
9
1968
On maximum theorems for analytic operator functions. Zbl 0173.42902
Brown, Arlen; Douglas, R. G.
9
1965
Fredholm Toeplitz operators. Zbl 0201.16801
Douglas, R. G.; Sarason, D.
9
1970
Toeplitz operators with locally sectorial symbols. Zbl 0207.13704
Douglas, R. G.; Widom, H.
9
1970
Similarity of \(n\)-hypercontractions and backward Bergman shifts. Zbl 1290.47017
Douglas, Ronald G.; Kwon, Hyun-Kyoung; Treil, Sergei
8
2013
Contractive Hilbert modules and their dilations. Zbl 1301.46027
Douglas, Ronald G.; Misra, Gadadhar; Sarkar, Jaydeb
8
2012
Quasi-free resolution of Hilbert modules. Zbl 1073.47502
Douglas, Ronald G.; Misra, Gadadhar
8
2003
The longitudinal cocycle and the index of Toeplitz operators. Zbl 0760.47009
Douglas, Ronald G.; Hurder, Steven; Kaminker, Jerome
8
1991
Relative \(K\) homology and \(C^*\) algebras. Zbl 0755.46035
Baum, Paul; Douglas, Ronald G.
8
1991
Uniqueness of multi-variate canonical models. Zbl 0809.47010
Douglas, R. G.; Foias, C.
8
1993
Spectral theory of generalized Toeplitz operators. Zbl 0151.19604
Douglas, R. G.; Pearcy, C.
8
1965
A multi-variable Berger-Shaw theorem. Zbl 0817.47027
Douglas, R. G.; Yan, Keren
7
1992
On quasi-free Hilbert modules. Zbl 1098.46019
Douglas, Ronald G.; Misra, Gadadhar
7
2005
Partially isometric Toeplitz operators. Zbl 0151.19603
Brown, Arlen; Douglas, R. G.
7
1965
On the double commutant of Cowen-Douglas operators. Zbl 1230.47036
Chen, Li; Douglas, Ronald G.; Guo, Kunyu
7
2011
Invariant subspaces of non-quasitriangular operators. Zbl 0264.47008
Douglas, R. G.; Pearcy, Carl
7
1973
On unitarily equivalent submodules. Zbl 1172.46015
Douglas, Ronald G.; Sarkar, Jaydeb
7
2008
Equivalence of connections. Zbl 0589.53032
Cowen, M. J.; Douglas, R. G.
7
1985
Projection-iterative methods for solution of operator equations. Translated from the Russian by Israel Program for Scientific Translations. Translation edited by R. G. Douglas. Zbl 0345.65027
Kurpel’, N. S.
7
1976
A geometric approach to finite rank unitary perturbations. Zbl 1300.47016
Douglas, Ronald G.; Liaw, Constanze
6
2013
Essentially reductive Hilbert modules. II. Zbl 1199.46159
Douglas, Ronald G.
6
2008
Operator theory and complex geometry. Zbl 1207.46024
Douglas, Ronald G.
6
2009
Confluent operator algebras and the closability property. Zbl 1190.47086
Bercovici, H.; Douglas, R. G.; Foias, C.; Pearcy, C.
6
2010
Index formulas for geometric Dirac operators in Riemannian foliations. Zbl 0849.58062
Douglas, Ronald G.; Glazebrook, James F.; Kamber, Franz W.; Yu, Guoliang
6
1995
Complex geometry and operator theory. Zbl 0427.47017
Cowen, M. J.; Douglas, R. G.
6
1977
Rigidity of Hardy submodules on the unit ball. Zbl 0762.46048
Chen, Xiaoman; Douglas, R. G.
5
1992
Geometric Arveson-Douglas conjecture and holomorphic extension. Zbl 06821373
Douglas, Ronald George; Wang, Yi
5
2017
Another look at real-valued index theory. Zbl 0810.47022
Douglas, Ronald G.
5
1989
Invariants for Hilbert modules. Zbl 0727.46027
Douglas, R. G.
5
1990
On the measure-theoretic character of an invariant mean. Zbl 0151.18903
Douglas, R. G.
5
1965
On the hyperinvariant subspaces for isometrics. Zbl 0164.16403
Douglas, R. G.
5
1968
On extremal measures and subspace density. II. Zbl 0171.34302
Douglas, R. G.
5
1966
On the structure of the square of a \(C_0(1)\) operator. Zbl 1119.47010
Douglas, Ronald G.; Foias, Ciprian
5
2006
Invariant expectations and vanishing of bounded cohomology for exact groups. Zbl 1248.57002
Douglas, Ronald G.; Nowak, Piotr W.
5
2011
Operators on multiply connected domains. Zbl 0302.47009
Abrahamse, M. B.; Douglas, R. G.
5
1974
Canonical models. Zbl 0336.47008
Douglas, R. G.
5
1974
Hermitian geometry on the resolvent set. II. Zbl 07344768
Douglas, Ronald G.; Yang, Rongwei
2
2021
Hermitian geometry on resolvent set. Zbl 1454.47009
Douglas, Ronald G.; Yang, Rongwei
4
2018
Geometric Arveson-Douglas conjecture-decomposition of varieties. Zbl 06909443
Wang, Yi; Douglas, Ronald G.
1
2018
Geometric Arveson-Douglas conjecture and holomorphic extension. Zbl 06821373
Douglas, Ronald George; Wang, Yi
5
2017
A local theory for operator tuples in the Cowen-Douglas class. Zbl 1385.47003
Chen, Li; Douglas, Ronald G.
2
2017
An analytic Grothendieck Riemann Roch theorem. Zbl 1351.32011
Douglas, Ronald G.; Tang, Xiang; Yu, Guoliang
12
2016
Generalized bundle shift with application to multiplication operator on the Bergman space. Zbl 1389.47068
Douglas, Ronald G.; Keshari, Dinesh Kumar; Xu, Anjian
4
2016
Spectral multiplicity and odd K-theory. II. Zbl 1367.47019
Douglas, Ronald G.; Kaminker, Jerome
1
2016
Curvature invariant and generalized canonical operator models. II. Zbl 1308.47004
Douglas, Ronald G.; Kim, Yun-Su; Kwon, Hyun-Kyoung; Sarkar, Jaydeb
4
2014
Some remarks on essentially normal submodules. Zbl 1339.47010
Douglas, Ronald G.; Wang, Kai
2
2014
The Corona problem. Connections between operator theory, function theory, and geometry. Selected papers based on the workshop, Toronto, Canada, June 2012. Zbl 1297.30004
1
2014
Connections of the Corona problem with operator theory and complex geometry. Zbl 1327.32014
Douglas, Ronald G.
1
2014
Similarity of \(n\)-hypercontractions and backward Bergman shifts. Zbl 1290.47017
Douglas, Ronald G.; Kwon, Hyun-Kyoung; Treil, Sergei
8
2013
A geometric approach to finite rank unitary perturbations. Zbl 1300.47016
Douglas, Ronald G.; Liaw, Constanze
6
2013
Reducing subspaces for analytic multipliers of the Bergman space. Zbl 1275.47071
Douglas, Ronald G.; Putinar, Mihai; Wang, Kai
33
2012
Canonical models for bi-isometries. Zbl 1266.47025
Bercovici, H.; Douglas, R. G.; Foias, C.
9
2012
Contractive Hilbert modules and their dilations. Zbl 1301.46027
Douglas, Ronald G.; Misra, Gadadhar; Sarkar, Jaydeb
8
2012
Curvature invariant and generalized canonical operator models. I. Zbl 1264.47016
Douglas, Ronald G.; Kim, Yun-Su; Kwon, Hyun-Kyoung; Sarkar, Jaydeb
4
2012
Spectral inclusion theorems. Zbl 1290.47004
Douglas, Ronald G.; Eschmeier, Jörg
2
2012
Resolutions of Hilbert modules and similarity. Zbl 1260.46018
Douglas, Ronald G.; Foias, Ciprian; Sarkar, Jaydeb
2
2012
Multiplication operators on the Bergman space via analytic continuation. Zbl 1216.47053
Douglas, Ronald G.; Sun, Shunhua; Zheng, Dechao
31
2011
A harmonic analysis approach to essential normality of principal submodules. Zbl 1254.47004
Douglas, Ronald G.; Wang, Kai
19
2011
Essentially reductive weighted shift Hilbert modules. Zbl 1249.46018
Douglas, Ronald G.; Sarkar, Jaydeb
11
2011
Reducing subspaces on the annulus. Zbl 1257.47011
Douglas, Ronald G.; Kim, Yun-Su
11
2011
On the double commutant of Cowen-Douglas operators. Zbl 1230.47036
Chen, Li; Douglas, Ronald G.; Guo, Kunyu
7
2011
Invariant expectations and vanishing of bounded cohomology for exact groups. Zbl 1248.57002
Douglas, Ronald G.; Nowak, Piotr W.
5
2011
Variations on a theme of Beurling. Zbl 1228.47008
Douglas, Ronald G.
2
2011
Confluent operator algebras and the closability property. Zbl 1190.47086
Bercovici, H.; Douglas, R. G.; Foias, C.; Pearcy, C.
6
2010
Some remarks on the Toeplitz corona problem. Zbl 1210.46028
Douglas, Ronald G.; Sarkar, Jaydeb
4
2010
Hilbert \(C^{*}\)-modules and amenable actions. Zbl 1404.22050
Douglas, Ronald G.; Nowak, Piotr W.
2
2010
A note on semi-Fredholm Hilbert modules. Zbl 1201.47006
Douglas, Ronald G.; Sarkar, Jaydeb
1
2010
Bi-isometries and commutant lifting. Zbl 1207.47009
Bercovici, Hari; Douglas, Ronald G.; Foias, Ciprian
1
2010
Operator theory and complex geometry. Zbl 1207.46024
Douglas, Ronald G.
6
2009
Equivalence of quotient Hilbert modules. II. Zbl 1140.46011
Douglas, Ronald G.; Misra, Gadadhar
15
2008
On unitarily equivalent submodules. Zbl 1172.46015
Douglas, Ronald G.; Sarkar, Jaydeb
7
2008
Essentially reductive Hilbert modules. II. Zbl 1199.46159
Douglas, Ronald G.
6
2008
Essentially reductive Hilbert modules. Zbl 1108.47030
Douglas, Ronald G.
27
2006
On the classification of multi-isometries. Zbl 1164.47301
Bercovici, H.; Douglas, R. G.; Foias, C.
10
2006
A new kind of index theorem. Zbl 1140.47060
Douglas, Ronald G.
10
2006
On the structure of the square of a \(C_0(1)\) operator. Zbl 1119.47010
Douglas, Ronald G.; Foias, Ciprian
5
2006
On quasi-free Hilbert modules. Zbl 1098.46019
Douglas, Ronald G.; Misra, Gadadhar
7
2005
The generalized Berezin transform and commutator ideals. Zbl 1106.46042
Davidson, Kenneth R.; Douglas, Ronald G.
4
2005
Ideals in Toeplitz algebras. Zbl 1103.46039
Douglas, Ronald G.
1
2005
Equivalence of quotient Hilbert modules. Zbl 1066.46043
Douglas, Ronald G.; Misra, Gadahar
10
2003
Quasi-free resolution of Hilbert modules. Zbl 1073.47502
Douglas, Ronald G.; Misra, Gadadhar
8
2003
Some geometric invariants from resolutions of Hilbert modules. Zbl 1014.46016
Douglas, Ronald G.; Misra, Gadadhar; Varughese, Cherian
2
2001
On quotient modules. Zbl 0994.47035
Douglas, Ronald G.; Misra, Gadadhar
1
2001
Operator theory in the Hardy space over the bidisk. I. Zbl 0970.47016
Douglas, Ronald G.; Yang, Rongwei
22
2000
On quotient modules – the case of arbitrary multiplicity. Zbl 0979.46034
Douglas, Ronald G.; Misra, Gadadhar; Varughese, Cherian
16
2000
Banach algebra techniques in operator theory. 2nd ed. Zbl 0920.47001
Douglas, Ronald G.
135
1998
Geometric invariants for resolutions of Hilbert modules. Zbl 0918.46047
Douglas, Ronald G.; Misra, Gadadhar
10
1998
Quotient Hardy modules. Zbl 0983.46038
Douglas, Ronald G.; Yang, Rongwei
4
1998
Induced cyclic cocycles and higher eta invariants. Zbl 0882.58050
Douglas, Ronald G.; Kaminker, Jerome
1
1997
Algebraic reduction and rigidity for Hilbert modules. Zbl 0833.46040
Douglas, R. G.; Paulsen, V. I.; Sah, C. H.; Yan, K.
24
1995
Index formulas for geometric Dirac operators in Riemannian foliations. Zbl 0849.58062
Douglas, Ronald G.; Glazebrook, James F.; Kamber, Franz W.; Yu, Guoliang
6
1995
Hilbert-Samuel polynomials for Hilbert modules. Zbl 0808.46068
Douglas, Ronald G.; Yan, Keren
10
1993
Uniqueness of multi-variate canonical models. Zbl 0809.47010
Douglas, R. G.; Foias, C.
8
1993
Localization of Hilbert modules. Zbl 0807.46060
Chen, Xiaoman; Douglas, R. G.
11
1992
A multi-variable Berger-Shaw theorem. Zbl 0817.47027
Douglas, R. G.; Yan, Keren
7
1992
Rigidity of Hardy submodules on the unit ball. Zbl 0762.46048
Chen, Xiaoman; Douglas, R. G.
5
1992
Adiabatic limits of the \(\eta\)-invariants. The odd-dimensional Atiyah- Patodi-Singer problem. Zbl 0746.58074
Douglas, Ronald G.; Wojciechowski, Krzysztof P.
25
1991
Cyclic cocycles, renormalization and eta-invariants. Zbl 0721.58049
Douglas, R. G.; Hurder, S.; Kaminker, J.
12
1991
The longitudinal cocycle and the index of Toeplitz operators. Zbl 0760.47009
Douglas, Ronald G.; Hurder, Steven; Kaminker, Jerome
8
1991
Relative \(K\) homology and \(C^*\) algebras. Zbl 0755.46035
Baum, Paul; Douglas, Ronald G.
8
1991
Elliptic renormalization. Zbl 0810.58043
Douglas, Ronald G.
1
1991
On the rigidity of Hardy submodules. Zbl 0727.46028
Douglas, R. G.; Yan, Keren
11
1990
Invariants for Hilbert modules. Zbl 0727.46027
Douglas, R. G.
5
1990
Hilbert modules over function algebras. Zbl 0686.46035
Douglas, Ronald G.; Paulsen, Vern I.
77
1989
Cycles and relative cycles in analytic K-homology. Zbl 0697.58050
Baum, Paul; Douglas, Ronald G.; Taylor, Michael E.
26
1989
Operator theory and algebraic geometry. Zbl 0711.47004
Douglas, R. G.; Paulsen, Vern; Yan, Keren
15
1989
Another look at real-valued index theory. Zbl 0810.47022
Douglas, Ronald G.
5
1989
Eta-invariants and von Neumann algebras. Zbl 0691.58037
Douglas, R. G.; Hurder, S.; Kaminker, J.
4
1989
Analytic realization of relative \(K\)-homology on manifolds with boundary and pairing with \(K\)-cohomology. Zbl 0819.58036
Douglas, R. G.; Wojciechowski, K. P.
1
1989
Toeplitz operators and the eta invariant: The case of \(S^ 1\). Zbl 0658.47027
Douglas, Ronald G.; Hurder, Steven; Kaminker, Jerome
3
1988
Elliptic invariants for differential operators. Zbl 0658.58046
Douglas, R. G.
1
1988
Invariant subspaces in the polydisk. Zbl 0609.47012
Agrawal, O. P.; Clark, D. N.; Douglas, R. G.
32
1986
Completely bounded maps and hypo-Dirichlet algebras. Zbl 0649.46053
Douglas, R. G.; Paulsen, V. I.
10
1986
Equivalence of connections. Zbl 0589.53032
Cowen, M. J.; Douglas, R. G.
7
1985
Operators possessing an open set of eigenvalues. Zbl 0584.47002
Cowen, M. J.; Douglas, R. G.
11
1983
K homology and index theory. Zbl 0532.55004
Baum, Paul; Douglas, Ronald G.
23
1982
Index theory, bordism, and K-homology. Zbl 0507.55004
Baum, Paul; Douglas, Ronald G.
16
1982
Toeplitz operators and Poincaré duality. Zbl 0517.55001
Baum, Paul; Douglas, Ronald G.
2
1982
On moduli for invariant subspaces. Zbl 0509.47006
Cowen, M. J.; Douglas, R. G.
1
1982
On the smoothness of sphere extensions. Zbl 0501.46055
Douglas, R. G.; Voiculescu, Dan
14
1981
\(C^*\)-algebra extensions and K-homology. Zbl 0458.46049
Douglas, Ronald G.
13
1980
Complex geometry and operator theory. Zbl 0427.47016
Cowen, M. J.; Douglas, R. G.
154
1978
Local Toeplitz operators. Zbl 0381.47018
Douglas, R. G.
20
1978
Extensions of \(C^*\)-algebras and \(K\)-homology. Zbl 0376.46036
Brown, L. G.; Douglas, R. G.; Fillmore, P. A.
142
1977
Complex geometry and operator theory. Zbl 0427.47017
Cowen, M. J.; Douglas, R. G.
6
1977
Quasi-similar models for nilpotent operators. Zbl 0342.47008
Apostol, C.; Douglas, R. G.; Foiaş, Ciprian
5
1977
Extensions of \(C^*\)-algebras and K-homology. Zbl 0348.46050
Douglas, R. G.
1
1977
A class of subnormal operators related to multiply-connected domains. Zbl 0321.47019
Abrahamse, M. B.; Douglas, R. G.
56
1976
Infinite dimensional versions of a theorem of Brickman-Fillmore. Zbl 0326.47021
Douglas, R. G.; Foiaş, Ciprian
10
1976
Projection-iterative methods for solution of operator equations. Translated from the Russian by Israel Program for Scientific Translations. Translation edited by R. G. Douglas. Zbl 0345.65027
Kurpel’, N. S.
7
1976
Operators on multiply connected domains. Zbl 0302.47009
Abrahamse, M. B.; Douglas, R. G.
5
1974
Canonical models. Zbl 0336.47008
Douglas, R. G.
5
1974
Unitary equivalence modulo the compact operators and extensions of C\(^*\)- algebras. Zbl 0277.46053
Brown, L. G.; Douglas, R. G.; Fillmore, P. A.
103
1973
Banach algebra techniques in the theory of Toeplitz operators. Zbl 0252.47025
Douglas, R. G.
60
1973
Inner dilations of analytic matrix functions and Darlington synthesis. Zbl 0267.30032
Douglas, R. G.; Helton, J. William
24
1973
Extensions of C\(^*\)-algebras, operators with compact self-commutators, and K-homology. Zbl 0277.46052
Brown, L. G.; Douglas, R. G.; Fillmore, P. A.
15
1973
...and 46 more Documents
all top 5

Cited by 1,761 Authors

40 Douglas, Ronald George
32 Guo, Kunyu
28 Misra, Gadadhar
24 Silbermann, Bernd
24 Xia, Jingbo
23 Sarkar, Jaydeb
22 Muhly, Paul Scott
21 Zheng, Dechao
19 Böttcher, Albrecht
19 Curto, Raúl Enrique
18 Corach, Gustavo
17 Yang, Rongwei
15 Herrero, Domingo Antonio
15 Ji, Kui
15 Ko, Eungil
15 Lee, Woo Young
14 Ball, Joseph Anthony
14 Deng, Chunyuan
14 Jiang, Chunlan
14 Maestripieri, Alejandra L.
14 Pearcy, Carl Mark Jr.
13 Fritzsche, Bernd
13 Izuchi, Keiji
13 Kirstein, Bernd
13 Popescu, Gelu
12 Foiaş, Ciprian Ilie
12 Hwang, In Sung
12 Izuchi, Kou Hei
12 Karlovich, Yuri I.
11 Arias, M. Laura
11 Arov, Damir Zyamovich
11 Estaremi, Yousef
11 Gonzalez, María Celeste
11 Huang, Hansong
11 Lin, Huaxin
11 Lipacheva, E. V.
10 Clancey, Kevin F.
10 Dyakonov, Konstantin M.
10 Fang, Xiaochun
10 Gu, Caixing
10 Hadwin, Donald W.
10 Izuchi, Yuko
10 Spitkovsky, Ilya Matvey
10 Vasilevski, Nikolai Leonidovich
10 Xu, Qingxiang
9 Carey, Alan L.
9 Coburn, Lewis A.
9 Davidson, Kenneth R.
9 Duggal, Bhagwati Prashad
9 Fuhrmann, Paul A.
9 Ji, Youqing
9 Jung, Il Bong
9 Nakazi, Takahiko
9 Roch, Steffen
9 Ross, William T.
9 Wu, Peiyuan
9 Xia, Daoxing
8 Chavan, Sameer Laxman
8 Cowen, Carl C.
8 Eschmeier, Jorg
8 Fang, Xiang
8 Fialkow, Lawrence A.
8 Kaminker, Jerome
8 Lu, Yufeng
8 Paulsen, Vern Ival
8 Putinar, Mihai
8 Sun, Shunhua
8 ter Horst, Sanne
8 Treil, Sergei
8 Zhao, Xianfeng
7 Deddens, James A.
7 Deeley, Robin J.
7 Ding, Xuanhao
7 Fricain, Emmanuel
7 Gong, Guihua
7 Jørgensen, Palle E. T.
7 Krishna Das, B.
7 Li, Yucheng
7 Luo, Shuaibing
7 McCullough, Scott A.
7 Murphy, Gerard J.
7 Richter, Stefan
7 Rosenblum, Marvin
7 Stojanoff, Demetrio
7 Wang, Penghui
7 Wei, Changguo
7 Yang, Yixin
7 Zhu, Sen
6 Bercovici, Hari
6 Berger, Charles A.
6 Bouldin, Richard
6 Cao, Guangfu
6 Dritschel, Michael A.
6 Frazho, Arthur E.
6 Gallardo-Gutiérrez, Eva Antonia
6 Garcia, Stephan Ramon
6 Gumerov, Renat N.
6 Helton, John William
6 Jury, Michael T.
6 Katsoulis, Elias George
...and 1,661 more Authors
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Cited in 293 Serials

236 Journal of Functional Analysis
195 Integral Equations and Operator Theory
166 Proceedings of the American Mathematical Society
156 Journal of Mathematical Analysis and Applications
88 Linear Algebra and its Applications
86 Transactions of the American Mathematical Society
49 Complex Analysis and Operator Theory
47 Advances in Mathematics
29 Mathematische Annalen
24 Journal of Soviet Mathematics
23 Bulletin of the American Mathematical Society
22 Archiv der Mathematik
22 Banach Journal of Mathematical Analysis
20 Mathematische Nachrichten
20 Bulletin of the American Mathematical Society. New Series
20 Acta Mathematica Sinica. English Series
19 Communications in Mathematical Physics
18 Israel Journal of Mathematics
18 Science China. Mathematics
15 Rocky Mountain Journal of Mathematics
14 Journal of Mathematical Sciences (New York)
12 Acta Mathematica
12 Results in Mathematics
12 \(K\)-Theory
11 Journal of Geometry and Physics
11 Duke Mathematical Journal
11 Mathematische Zeitschrift
11 Tohoku Mathematical Journal. Second Series
11 Science in China. Series A
11 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
11 Journal of Noncommutative Geometry
10 Journal of Mathematical Physics
10 Mathematical Notes
10 Journal of Approximation Theory
10 Siberian Mathematical Journal
10 Systems & Control Letters
10 Lobachevskii Journal of Mathematics
10 Journal of Function Spaces
9 Czechoslovak Mathematical Journal
9 Positivity
9 Mediterranean Journal of Mathematics
9 Operators and Matrices
9 Annals of Functional Analysis
8 Linear and Multilinear Algebra
8 Functional Analysis and its Applications
8 Glasgow Mathematical Journal
8 Numerical Functional Analysis and Optimization
8 International Journal of Mathematics
8 Acta Mathematica Sinica. New Series
7 Bulletin of the Australian Mathematical Society
7 Journal d’Analyse Mathématique
7 Annales de l’Institut Fourier
7 Proceedings of the Edinburgh Mathematical Society. Series II
7 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 Bulletin des Sciences Mathématiques
7 Journal of the Australian Mathematical Society
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Multivariate Analysis
6 Journal für die Reine und Angewandte Mathematik
6 Monatshefte für Mathematik
6 Acta Mathematica Hungarica
6 Indagationes Mathematicae. New Series
6 St. Petersburg Mathematical Journal
6 Communications of the Korean Mathematical Society
6 International Journal of Wavelets, Multiresolution and Information Processing
6 Journal of Topology and Analysis
6 Journal of \(K\)-Theory
6 Sahand Communications in Mathematical Analysis
6 Advances in Operator Theory
5 Indian Journal of Pure & Applied Mathematics
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Arkiv för Matematik
5 Applied Mathematics and Computation
5 Manuscripta Mathematica
5 Memoirs of the American Mathematical Society
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Chinese Annals of Mathematics. Series B
5 The Journal of Geometric Analysis
5 Geometric and Functional Analysis. GAFA
5 Russian Mathematics
5 The New York Journal of Mathematics
5 Abstract and Applied Analysis
5 Journal of Inequalities and Applications
5 Computational Methods and Function Theory
4 International Journal of Control
4 Studia Mathematica
4 Ukrainian Mathematical Journal
4 Publications Mathématiques
4 Inventiones Mathematicae
4 Journal of Differential Equations
4 Journal of Optimization Theory and Applications
4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
4 Acta Applicandae Mathematicae
4 Revista Matemática Iberoamericana
4 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Filomat
4 Fixed Point Theory and Applications
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Analysis and Mathematical Physics
...and 193 more Serials
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Cited in 57 Fields

1,458 Operator theory (47-XX)
814 Functional analysis (46-XX)
237 Functions of a complex variable (30-XX)
141 Several complex variables and analytic spaces (32-XX)
122 Global analysis, analysis on manifolds (58-XX)
94 \(K\)-theory (19-XX)
91 Harmonic analysis on Euclidean spaces (42-XX)
82 Linear and multilinear algebra; matrix theory (15-XX)
67 Probability theory and stochastic processes (60-XX)
58 Quantum theory (81-XX)
52 Systems theory; control (93-XX)
50 Integral equations (45-XX)
42 Partial differential equations (35-XX)
42 Approximations and expansions (41-XX)
42 Differential geometry (53-XX)
41 Topological groups, Lie groups (22-XX)
41 Abstract harmonic analysis (43-XX)
39 Measure and integration (28-XX)
36 Algebraic topology (55-XX)
36 Numerical analysis (65-XX)
25 Group theory and generalizations (20-XX)
23 Manifolds and cell complexes (57-XX)
19 Mathematical logic and foundations (03-XX)
18 Algebraic geometry (14-XX)
17 Associative rings and algebras (16-XX)
15 Potential theory (31-XX)
15 Integral transforms, operational calculus (44-XX)
14 Category theory; homological algebra (18-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
13 Ordinary differential equations (34-XX)
13 Dynamical systems and ergodic theory (37-XX)
13 General topology (54-XX)
11 Combinatorics (05-XX)
11 Statistics (62-XX)
11 Information and communication theory, circuits (94-XX)
10 Nonassociative rings and algebras (17-XX)
10 Statistical mechanics, structure of matter (82-XX)
8 Number theory (11-XX)
8 Difference and functional equations (39-XX)
8 Convex and discrete geometry (52-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Commutative algebra (13-XX)
5 History and biography (01-XX)
5 Field theory and polynomials (12-XX)
5 Real functions (26-XX)
5 Special functions (33-XX)
4 Computer science (68-XX)
4 Fluid mechanics (76-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 General and overarching topics; collections (00-XX)
3 Operations research, mathematical programming (90-XX)
2 Geometry (51-XX)
2 Mechanics of particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
2 Relativity and gravitational theory (83-XX)
1 Sequences, series, summability (40-XX)
1 Biology and other natural sciences (92-XX)

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