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

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

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
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