Results 11 to 20 of about 7,970 (116)
A generalization of Hahn–Banach extension theorem
Journal of Mathematical Analysis and Applications, 2005 Let \(X\) and \(Y\) be real linear topological spaces with \(Y\) being partially ordered by a closed pointed convex cone \(K\), and let \(C\subset X\) be a convex set. A set-valued map \(F\colon\,C\to2^Y\) is said to be \(K\)-convex if, for every \(x,y\in C\) and \(\lambda\in(0,1)\), one has \(\lambda F(x)+(1-\lambda)F(y)\subset F\bigl(\lambda x+(1 ...
Peng, Jianwen +3 more
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About Hahn–Banach extension theorems and applications to set-valued optimization
Computers & Mathematics with Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hernández, Elvira +2 more
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A Hahn-Banach extension theorem for analytic mappings [PDF]
Bulletin de la Société mathématique de France, 1978 Aron, Richard M., Berner, Paul D.
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Extending polynomials in maximal and minimal ideals [PDF]
, 2010 Given an homogeneous polynomial on a Banach space $E$ belonging to some maximal or minimal polynomial ideal, we consider its iterated extension to an ultrapower of $E$ and prove that this extension remains in the ideal and has the same ideal norm.
Carando, Daniel, Galicer, Daniel
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Very smooth points of spaces of operators [PDF]
, 2003 In this paper we study very smooth points of Banach spaces with special emphasis on spaces of operators. We show that when the space of compact operators is an $M$-ideal in the space of bounded operators, a very smooth operator $T$ attains its norm at a ...
Rao, T. S. S. R. K.
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A Version of the Hahn-Banach Theorem for R-Vector Spaces [PDF]
Sahand Communications in Mathematical AnalysisRecently, $R$-metric spaces have been introduced to generalized metric spaces. This extension is based on the construction of a new universe with interesting properties.
Azadeh Alijani +2 more
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On the extension of linear operators
International Journal of Mathematics and Mathematical Sciences, 2001 It is well known that the Hahn-Banach theorem, that is, the extension theorem for bounded linear functionals, is not true in general for bounded linear operators. A characterization of spaces for which it is true was published by Kakutani in 1940.
John J. Saccoman
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Hahn-Banach type extension theorems on p-operator spaces [PDF]
Operators and Matrices, 2015 arXiv admin note: text overlap with arXiv:1209 ...
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Holomorphic Functions and polynomial ideals on Banach spaces [PDF]
, 2010 Given $\u$ a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, $H_{b\u}(E)$. We prove that, under very natural conditions verified by many usual classes of polynomials, the spectrum
Carando, Daniel +2 more
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Real positivity and approximate identities in Banach algebras [PDF]
, 2015 Blecher and Read have recently introduced and studied a new notion of positivity in operator algebras, with an eye to extending certain $C^*$-algebraic results and theories to more general algebras.
Blecher, David P., Ozawa, Narutaka
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