Results 31 to 40 of about 513,304 (193)
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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The Hahn-Banach theorem implies Sine’s mean ergodic theorem
, 1979 Using the Hahn-Banach theorem, a simple proof of Sine’s mean ergodic theorem is given.
Ryōtarō Satō
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A sandwich type Hahn-Banach theorem for convex and concave functionals [PDF]
, 2021 We give a sandwich type Hahn-Banach theorem for convex and concave ...
Xu, Jingshi
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O Teorema de Hahn-Banach e Aplicações [PDF]
, 2023 The work presents versions of the analytical form of the Hahn-Banach Theorem and some of its applications in functional analysis, addressing fundamental concepts of linear algebra and functional analysis.
Teixeira, Lucas Mendes
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The minimax theorem as Hahn-Banach theorem consequence [PDF]
, 2015 The separation concept is essential in convex programming. In particular, the convex sets separation. In this work the Hahn-Banach theorem is presented, with great generality, together with an important separation theorem, its consequence.
Ferreira, M. A. M.
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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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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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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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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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Risk Measure Duality Without Structure
Mathematical Finance, EarlyView.ABSTRACT We study risk measures on vector spaces of random variables which a priori have little structure, such as spaces lacking law invariance or a lattice structure. Ensuring the existence of a tractable dual representation (one which does not contain non‐sigma‐additive measures) is one of the main problems in risk measure theory, and we address it ...
Vasily Melnikov
wiley +1 more source