Compact operators on Orlicz spaces
J. J. Uhl Jr. (1969)
Rendiconti del Seminario Matematico della Università di Padova
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J. J. Uhl Jr. (1969)
Rendiconti del Seminario Matematico della Università di Padova
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A. Torgašev (1976)
Matematički Vesnik
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Zenon J. Jabłoński, Il Bong Jung, Jan Stochel (2006)
Studia Mathematica
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The concept of k-step full backward extension for subnormal operators is adapted to the context of completely hyperexpansive operators. The question of existence of k-step full backward extension is solved within this class of operators with the help of an operator version of the Levy-Khinchin formula. Some new phenomena in comparison with subnormal operators are found and related classes of operators are discussed as well.
Gerd Herzog, Christoph Schmoeger (2010)
Studia Mathematica
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We study boundary value problems of the type Ax = r, φ(x) = φ(b) (φ ∈ M ⊆ E*) in ordered Banach spaces.
K. C. Sivakumar (2008)
Banach Center Publications
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Let X be a partially ordered real Banach space, a,b ∈ X with a ≤ b. Let ϕ be a bounded linear functional on X. We call X a Ben-Israel-Charnes space (or a B-C space) if the linear program defined by Maximize ϕ(x) subject to a ≤ x ≤ b has an optimal solution for any ϕ, a and b. Such problems arise naturally in solving a class of problems known as Interval Linear Programs. B-C spaces were introduced in the author's doctoral thesis and were subsequently studied in [8] and [9]. In this article,...
Vladimir M. Kadets, Roman V. Shvidkoy, Dirk Werner (2001)
Studia Mathematica
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Let X be a Banach space. We introduce a formal approach which seems to be useful in the study of those properties of operators on X which depend only on the norms of the images of elements. This approach is applied to the Daugavet equation for norms of operators; in particular we develop a general theory of narrow operators and rich subspaces of spaces X with the Daugavet property previously studied in the context of the classical spaces C(K) and L₁(μ).
Đ. Kurepa (1953)
Matematički Vesnik
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Gajek, L., Jachymski, J., Zagrodny, D. (1995)
Journal of Applied Analysis
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Francisco Javier García-Pacheco, Daniele Puglisi (2010)
Studia Mathematica
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This article is divided into two parts. The first one is on the linear structure of the set of norm-attaining functionals on a Banach space. We prove that every Banach space that admits an infinite-dimensional separable quotient can be equivalently renormed so that the set of norm-attaining functionals contains an infinite-dimensional vector subspace. This partially solves a question proposed by Aron and Gurariy. The second part is on the linear structure of dominated operators. We show...
Charles E. Cleaver (1972)
Colloquium Mathematicae
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Sungeun Jung, Yoenha Kim, Eungil Ko, Ji Eun Lee (2012)
Studia Mathematica
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We give several conditions for (A,m)-expansive operators to have the single-valued extension property. We also provide some spectral properties of such operators. Moreover, we prove that the A-covariance of any (A,2)-expansive operator T ∈ ℒ(ℋ ) is positive, showing that there exists a reducing subspace ℳ on which T is (A,2)-isometric. In addition, we verify that Weyl's theorem holds for an operator T ∈ ℒ(ℋ ) provided that T is (T*T,2)-expansive. We next study (A,m)-isometric operators...
Andreas Defant, Mieczysław Mastyło (2003)
Studia Mathematica
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The Banach operator ideal of (q,2)-summing operators plays a fundamental role within the theory of s-number and eigenvalue distribution of Riesz operators in Banach spaces. A key result in this context is a composition formula for such operators due to H. König, J. R. Retherford and N. Tomczak-Jaegermann. Based on abstract interpolation theory, we prove a variant of this result for (E,2)-summing operators, E a symmetric Banach sequence space.
Jerzy Grzybowski, Hubert Przybycień, Ryszard Urbański (2014)
Banach Center Publications
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In this paper we generalize in Theorem 12 some version of Hahn-Banach Theorem which was obtained by Simons. We also present short proofs of Mazur and Mazur-Orlicz Theorem (Theorems 2 and 3).
Kislyakov, S.V., Maksimov, D.V. (2005)
Zapiski Nauchnykh Seminarov POMI
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Vladimír Lovicar (1975)
Časopis pro pěstování matematiky
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