Hahn-Banach operators

DOI10.1090/S0002-9939-01-06037-3zbMath0983.46015arXivmath/0203055MaRDI QIDQ2723488

Mikhail I. Ostrovskii

Publication date: 5 July 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0203055

zbMATH Keywords

isometric embeddingsigned measureranksupport setfinite dimensional normed spacebi-orthogonal sequencesHahn-Banach operatornorm preserving operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Dilations, extensions, compressions of linear operators (47A20)

Related Items (2)

Characterizations of some operator spaces by relative adjoint operators ⋮ Generalized Köthe-Toeplitz duals of some vector-valued sequence spaces

Cites Work

• Projections in normed linear spaces and sufficient enlargements
• Norms of minimal projections
• On the extension of operators with a finite-dimensional range
• Some functionals over a compact Minkowski space
• Convex regions and projections in Minkowski spaces
• Projection Constants
• A New Proof of the Equivalence of the Hahn-Banach Extension and the Least Upper Bound Properties
• On the Hahn-Banach Extension Property
• A two-dimensional Hahn-Banach theorem
• Extension of compact operators
• Linear Normed Spaces with Extension Property
• On Linear Transformations
• A Theorem of the Hahn-Banach Type for Linear Transformations
• Projections in Normed Linear Spaces
• Banach Spaces with the Extension Property
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