On projectional resolution of identity on the duals of certain Banach spaces

DOI10.1017/S0004972700013344zbMath0613.46019OpenAlexW1975283633MaRDI QIDQ4720220

Martin Fabian

Publication date: 1987

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700013344

zbMATH Keywords

Ekeland's variational principleAsplund spaceprojectional resolution of identityGâteaux differentiable function with bounded nonempty supportlong sequence

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items

Smooth bump functions and geomentry of Banach spaces, Smooth partitions of unity and approximating norms in Banach spaces, Smooth norms in dense subspaces of Banach spaces, Projections in duals to Asplund spaces made without Simons’ lemma, Smooth bump functions and the geometry of Banach spaces. A brief survey

Cites Work

• Support cones in Banach spaces and their applications
• Smoothness and its equivalents in weakly compactly generated Banach spaces
• The structure of weakly compact sets in Banach spaces
• Nonconvex minimization problems