Dual Algebras with Applications to Invariant Subspaces and Dilation Theory

1985 ◽  
Author(s):  
Hari Bercovici ◽  
Ciprian Foiaş ◽  
Carl Pearcy
Keyword(s):  
Invariant Subspaces ◽  
Dilation Theory

scholarly journals Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra, I

1985 ◽  
Vol 63 (3) ◽  
pp. 369-404 ◽  
Author(s):  
C Apostol ◽  
H Bercovici ◽  
C Foias ◽  
C Pearcy
Keyword(s):  
Algebra I ◽  
Invariant Subspaces ◽  
Dual Algebra ◽  
Dilation Theory

Some unsolved problems of unknown depth about operators on Hilbert space

1976 ◽  
Vol 76 (1) ◽  
pp. 67-76 ◽  
Author(s):  
P. R. Halmos
Keyword(s):  
Hilbert Space ◽  
Approximation Theory ◽  
Toeplitz Operators ◽  
Invariant Subspaces ◽  
Operator Approximation ◽  
Dilation Theory ◽  
Special Invariant

SynopsisThe paper presents a list of unsolved problems about operators on Hilbert space, accompanied by just enough definitions and general discussion to set the problems in a reasonable context. The subjects are: quasitriangular matrices, the resemblances between normal and Toeplitz operators, dilation theory, the algebra of shifts, some special invariant subspaces, the category (in the sense of Baire) of the set of non-cyclicoperators, non-commutative(i.e. operator) approximation theory, infinitary operators, and the possibility of attacking invariance problems by compactness or convexity arguments.

Invariant Subspaces on KPC-Hypergroups

2019 ◽  
Vol 15 (1) ◽  
pp. 122-130
Author(s):  
Laszlo Szekelyhidi ◽  
◽  
Seyyed Mohammad Tabatabaie ◽  
Keyword(s):  
Invariant Subspaces

Invariant Subspaces

1973 ◽  
Author(s):  
Heydar Radjavi ◽  
Peter Rosenthal
Keyword(s):  
Invariant Subspaces
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