The Bloch Space on the Unit Ball of a Hilbert Space: Maximality and Multipliers

2021 ◽  
Vol 41 (3) ◽  
pp. 899-906
Author(s):  
Pablo Galindo ◽  
Mikael Lindström
Keyword(s):  
Hilbert Space ◽  
Unit Ball ◽  
Bloch Space

scholarly journals Composition operators on the Bloch space of the unit ball of a Hilbert space

2017 ◽  
Vol 11 (2) ◽  
pp. 311-334 ◽  
Author(s):  
Oscar Blasco ◽  
Pablo Galindo ◽  
Mikael Lindström ◽  
Alejandro Miralles
Keyword(s):  
Hilbert Space ◽  
Unit Ball ◽  
Composition Operators ◽  
Bloch Space

Perturbations of AF-Algebras

1979 ◽  
Vol 31 (5) ◽  
pp. 1012-1016 ◽  
Author(s):  
John Phillips ◽  
Iain Raeburn
Keyword(s):  
Hilbert Space ◽  
Unit Ball ◽  
Von Neumann Algebra ◽  
Unitary Operator ◽  
Affirmative Answer ◽  
Positive Answer ◽  
Von Neumann ◽  
Finite Dimensional ◽  
Image Position ◽  
Af Algebras

Let A and B be C*-algebras acting on a Hilbert space H, and letwhere A1 is the unit ball in A and d(a, B1) denotes the distance of a from B1. We shall consider the following problem: if ‖A – B‖ is sufficiently small, does it follow that there is a unitary operator u such that uAu* = B?Such questions were first considered by Kadison and Kastler in [9], and have received considerable attention. In particular in the case where A is an approximately finite-dimensional (or hyperfinite) von Neumann algebra, the question has an affirmative answer (cf [3], [8], [12]). We shall show that in the case where A and B are approximately finite-dimensional C*-algebras (AF-algebras) the problem also has a positive answer.

scholarly journals Bloch type spaces on the unit ball of a Hilbert space

2018 ◽  
Vol 69 (3) ◽  
pp. 695-711
Author(s):  
Zhenghua Xu
Keyword(s):  
Hilbert Space ◽  
Unit Ball ◽  
Type Spaces
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