scholarly journals A simple proof of the complete metric approximation property for $q$-Gaussian algebras

2021 ◽  
Vol 163 (1) ◽  
pp. 1-14
Author(s):  
Mateusz Wasilewski
Keyword(s):  
Simple Proof ◽  
Approximation Property ◽  
Metric Approximation

scholarly journals The weak metric approximation property

2005 ◽  
Vol 333 (3) ◽  
pp. 471-484 ◽  
Author(s):  
Åsvald Lima ◽  
Eve Oja
Keyword(s):  
Approximation Property ◽  
Metric Approximation

scholarly journals The metric approximation property in non-archimedean normed spaces

2014 ◽  
Vol 49 (2) ◽  
pp. 407-419
Author(s):  
Cristina Perez-Garcia ◽  
◽  
Wilhelmus H. Schikhof ◽  
Keyword(s):  
Approximation Property ◽  
Normed Spaces ◽  
Metric Approximation

THE BOUNDED APPROXIMATION PROPERTY FOR THE WEIGHTED SPACES OF HOLOMORPHIC MAPPINGS ON BANACH SPACES

2017 ◽  
Vol 60 (2) ◽  
pp. 307-320 ◽  
Author(s):  
MANJUL GUPTA ◽  
DEEPIKA BAWEJA
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Open Subset ◽  
Weighted Space ◽  
Approximation Property ◽  
Holomorphic Mappings ◽  
Countable Family ◽  
Weighted Spaces ◽  
Metric Approximation

AbstractIn this paper, we study the bounded approximation property for the weighted space$\mathcal{HV}$(U) of holomorphic mappings defined on a balanced open subsetUof a Banach spaceEand its predual$\mathcal{GV}$(U), where$\mathcal{V}$is a countable family of weights. After obtaining an$\mathcal{S}$-absolute decomposition for the space$\mathcal{GV}$(U), we show thatEhas the bounded approximation property if and only if$\mathcal{GV}$(U) has. In case$\mathcal{V}$consists of a single weightv, an analogous characterization for the metric approximation property for a Banach spaceEhas been obtained in terms of the metric approximation property for the space$\mathcal{G}_v$(U).

scholarly journals Complete metric approximation property for q -Araki–Woods algebras

2018 ◽  
Vol 274 (2) ◽  
pp. 544-572
Author(s):  
Stephen Avsec ◽  
Michael Brannan ◽  
Mateusz Wasilewski
Keyword(s):  
Approximation Property ◽  
Metric Approximation

scholarly journals Forcing axioms and coronas of C∗-algebras

2020 ◽  
pp. 2150006
Author(s):  
Paul McKenney ◽  
Alessandro Vignati
Keyword(s):  
Approximation Property ◽  
Approximate Identity ◽  
Large Classes ◽  
Forcing Axioms ◽  
Rigidity Results ◽  
C Algebras ◽  
Proper Forcing Axiom ◽  
Proper Forcing ◽  
Metric Approximation ◽  
Forcing Axiom

We prove rigidity results for large classes of corona algebras, assuming the Proper Forcing Axiom. In particular, we prove that a conjecture of Coskey and Farah holds for all separable [Formula: see text]-algebras with the metric approximation property and an increasing approximate identity of projections.

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