Multismoothness in Banach spaces

DOI10.1155/2007/52382zbMath1152.46302OpenAlexW2012945873MaRDI QIDQ925468

T. S. S. R. K. Rao, Bor-Luh LIn

Publication date: 3 June 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54891

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (9)

Characterization of k-smoothness of operators defined between infinite-dimensional spaces ⋮ Uniqueness of Hahn-Banach extensions and some of its variants ⋮ $k$-smoothness on polyhedral Banach spaces ⋮ Geometric properties of operator spaces endowed with the numerical radius norm ⋮ On Geometry of Banach Function Modules: Selected Topics ⋮ \(k\)-smooth points in some Banach spaces ⋮ Characterization of \(k\)-smooth operators between Banach spaces ⋮ Characterization of extreme contractions through k-smoothness of operators ⋮ An Approximation Problem in the Space of Bounded Operators

Cites Work

• \(M\)-ideals in Banach spaces and Banach algebras
• Smooth points of certain operator spaces
• Exposed and smooth points of some classes of operation in \(L(\ell^ p)\)
• Smooth points in some spaces of bounded operators
• The differentiability of the norm in spaces of operators
• Points minimaux et ensembles optimaux dans les espaces de Banach
• Geometrical properties determined by the higher duals of a Banach space
• Smooth points of vector valued function spaces
• Unitaries in Banach spaces
• Renormings and extremal structures
• \(K\)-rotund complex normed linear spaces
• Multi-smooth points of finite order
• Uniqueness of Hahn-Banach extensions and liftings of linear dependences.
• Facial Characterizations of Complex Lindenstrauss Spaces
• Transitivity of proximinality and norm attaining functionals
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