Extension conditions for bounded linear and sublinear operators with values in Lindenstrauss spaces

DOI10.1007/s11202-010-0104-6zbMath1229.46008OpenAlexW2090490222MaRDI QIDQ542188

Yurij É. Linke

Publication date: 8 June 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0104-6

zbMATH Keywords

subdifferentiallinear operatorLindenstrauss spaceaffine mappingmultivalued mapping\(L^1\)-predualsublinear operatorextension of operators

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Dilations, extensions, compressions of linear operators (47A20)

Related Items

Introduction to sublinear analysis ⋮ Compact subdifferentials in Banach spaces and their applications to variational functionals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hyperspace of convex compacta of nonmetrizable compact convex subspaces of locally convex spaces
• Extending Lipschitz maps into \(C(K)\)-spaces
• Extending operators into Lindenstrauss spaces
• On automorphic Banach spaces
• Automorphisms of \(\mathcal C(K)\)-spaces and extension of linear operators
• On the extension of Hölder maps with values in spaces of continuous functions
• Extension of linear operators and Lipschitz maps into \({\mathcal C}(K)\)-spaces
• On the classification of the Banach spaces whose duals are \(L_1\) spaces
• Banach spaces whose duals are \(L_ 1\) spaces and their representing matrices
• Contributions to the theory of the classical Banach spaces
• Extension of bilinear forms on Banach spaces
• Extension of Operators from Subspaces of c 0 (Γ) into C(K) Spaces
• Extensions by spaces of continuous functions
• On the Classification of Complex Lindenstrauss Spaces.
• On Lindenstrauss–Pełczyński spaces