INVARIANT SUBSPACES OF ANALYTIC FUNCTIONS. III. ON THE EXTENSION OF SPECTRAL SYNTHESIS

1972 ◽  
Vol 17 (3) ◽  
pp. 327-348 ◽  
Author(s):  
I F Krasičkov-Ternovskiĭ
Keyword(s):  
Analytic Functions ◽  
Spectral Synthesis ◽  
Invariant Subspaces

Invariant subspaces of given index in Banach spaces of analytic functions

1998 ◽  
Vol 1998 (505) ◽  
pp. 23-44 ◽  
Author(s):  
Alexander Borichev
Keyword(s):  
Banach Spaces ◽  
Wide Class ◽  
Analytic Functions ◽  
Unit Disc ◽  
Bergman Spaces ◽  
Invariant Subspaces ◽  
Weighted Bergman Spaces ◽  
Common Zeros ◽  
Spaces Of Analytic Functions

Abstract For a wide class of Banach spaces of analytic functions in the unit disc including all weighted Bergman spaces with radial weights and for weighted ℓAp spaces we construct z-invariant subspaces of index n, 2 ≦ n ≦ + ∞, without common zeros in the unit disc.

scholarly journals Invariant subspaces in Banach spaces of analytic functions.

1990 ◽  
Vol 37 (1) ◽  
pp. 91-104 ◽  
Author(s):  
Håkan Hedenmalm ◽  
Allen Shields
Keyword(s):  
Banach Spaces ◽  
Analytic Functions ◽  
Invariant Subspaces ◽  
Spaces Of Analytic Functions
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