Results 31 to 40 of about 11,746 (180)
Support theorems in abstract settings [PDF]
, 2017 In this paper we establish a general framework in which the verification of support theorems for generalized convex functions acting between an algebraic structure and an ordered algebraic structure is still possible.
Olbryś, Andrzej, Páles, Zsolt
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The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited
Abstract and Applied Analysis, 2014 This paper deals with fuzzy normed spaces in the sense of Cheng and Mordeson. We characterize fuzzy norms in terms of ascending and separating families of seminorms and prove an extension theorem for continuous linear functionals on a fuzzy normed space.
Carmen Alegre, Salvador Romaguera
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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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ℂ-convexity in infinite-dimensional Banach spaces and applications to Kergin interpolation
International Journal of Mathematics and Mathematical Sciences, 2006 We investigate the concepts of linear convexity and ℂ-convexity in complex Banach spaces. The main result is that any ℂ-convex domain is necessarily linearly convex.
Lars Filipsson
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On Four Classical Measure Theorems
Mathematics, 2021 A subset B of an algebra A of subsets of a set Ω has property (N) if each B-pointwise bounded sequence of the Banach space ba(A) is bounded in ba(A), where ba(A) is the Banach space of real or complex bounded finitely additive measures defined on A ...
Salvador López-Alfonso +2 more
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Generalized Integral Transforms via the Series Expressions
Mathematics, 2020 From the change of variable formula on the Wiener space, we calculate various integral transforms for functionals on the Wiener space. However, not all functionals can be obtained by using this formula.
Hyun Soo Chung
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Geometric Hahn-Banach theorem [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2006 We give a simple constructive proof of a geometric form of Hahn-Banach theorem, simplifying a proof in [ 5 ].
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Polynomial Approximation on Unbounded Subsets, Markov Moment Problem and Other Applications
Mathematics, 2020 This paper starts by recalling the author’s results on polynomial approximation over a Cartesian product A of closed unbounded intervals and its applications to solving Markov moment problems.
Octav Olteanu
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Potential trace inequalities via a Calderón‐type theorem
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula +2 more
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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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