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Banach Algebra Techniques in Operator Theory
- R. Douglas
- Mathematics
- 11 February 1972
1 Banach Spaces.- 2 Banach Algebras.- 3 Geometry of Hilbert Space.- 4 Operators on Hilbert Space and C*-Algebras.- 5 Compact Operators, Fredholm Operators, and Index Theory.- 6 The Hardy Spaces.- 7…
On majorization, factorization, and range inclusion of operators on Hilbert space
- R. Douglas
- Mathematics
- 1 February 1966
The purpose of this note is to show that a close relationship exists between the notions of majorization, factorization, and range inclusion for operators on a Hilbert space. Although fragments of…
Complex geometry and operator theory
- M. Cowen, R. Douglas
- Mathematics
- 1 December 1978
Unitary equivalence modulo the compact operators and extensions of C*-algebras
- L. G. Brown, R. Douglas, P. Fillmore
- Mathematics
- 1973
A class of subnormal operators related to multiply-connected domains☆
- M. Abrahamse, R. Douglas
- Mathematics
- 1976
The Hardy Spaces
- R. Douglas
- Mathematics
- 1998
In this chapter we study various properties of the spacesH 1 H 2 andH ∞in preparation for our study of Toeplitz operators in the following chapter. Due to the availability of several excellent…
Cyclic vectors and invariant subspaces for the backward shift operator
- R. Douglas, H. Shapiro, A. Shields
- Mathematics
- 1970
Hilbert Modules over Function Algebras
- R. Douglas
- Mathematics
- 1 December 1989
TLDR
Invariant subspaces in the polydisk
- O. Agrawal, D. N. Clark, R. Douglas
- Mathematics
- 1986
This note is a study of unitary equivalence of invariant subspaces of H2 of the polydisk. By definition, this means joint unitary equivalence of the shift operators restricted to the invariant…
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