Non-Archimedean Hahn-Banach theorems and injective Banach spaces

DOI10.1090/conm/704/14169zbMath1406.46059OpenAlexW2795243488MaRDI QIDQ4685935

González, Manuel, Cristina Pérez-García

Publication date: 9 October 2018

Published in: Advances in Ultrametric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/704/14169

zbMATH Keywords

Hahn-Banach theoremclassical injective Banach spacesnon-Archimedean injective Banach spaces

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10)

Cites Work

• A classical Banach space: \(\ell_{\infty}/c_ 0\)
• Orthogonal bases in \(\ell ^{\infty}(X)\)
• The separable extension problem
• On separably injective Banach spaces
• On the duality problem for weakly compact, strictly singular operators
• Remark on non-complemented subspaces of the space m(S)
• On the Extension of Operators with Range in a C(K) Space
• Extension of compact operators
• On relatively disjoint families of measures, with some applications to Banach space theory
• On Linear Transformations
• Separably injective Banach spaces
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