Discovering the algebraic structure on the metric injective envelope of a real Banach space

DOI10.1016/S0166-8641(96)00157-5zbMath0912.46072WikidataQ114121889 ScholiaQ114121889MaRDI QIDQ1361383

Espedito De Pascale, Filomena Cianciaruso

Publication date: 26 May 1999

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

injective metric envelopelinear injective envelopereal injective Banach space

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Projective and injective objects in functional analysis (46M10) Special maps on metric spaces (54E40)

Related Items (5)

Extension of compact mappings and \(\aleph_0\)-hyperconvexity ⋮ The vector lattice structure on the Isbell-convex hull of an asymmetrically normed real vector space ⋮ Extremal function pairs in asymmetric normed linear spaces ⋮ Convex geodesic bicombings and hyperbolicity ⋮ INJECTIVE HULLS OF CERTAIN DISCRETE METRIC SPACES AND GROUPS

Cites Work

• Unnamed Item
• Extension of uniformly continuous transformations and hyperconvex metric spaces
• Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces
• The metric injective hulls of normed spaces
• Six theorems about injective metric spaces
• Three remarks on injective envelopes of Banach spaces
• Injective envelopes of Banach spaces are rigidly attached
• State Constraints in Convex Control Problems of Bolza
• Injective envelopes of Banach spaces
• A Theorem of the Hahn-Banach Type for Linear Transformations
• Banach Spaces with the Extension Property

This page was built for publication: Discovering the algebraic structure on the metric injective envelope of a real Banach space