On the Kunen-Shelah properties in Banach spaces
Antonio S. Granero, Mar Jiménez, Alejandro Montesinos, José P. Moreno, Anatolij Plichko (2003)
Studia Mathematica
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Displaying similar documents to “D sets and IP rich sets in ℤ”
On the Kunen-Shelah properties in Banach spaces
More lr saturated L∞ spaces
Gasparis, I., Papadiamantis, M. K., Zisimopoulou, D. Z. (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 05D10, 46B03. Given r ∈ (1, ∞), we construct a new L∞ separable Banach space which is lr saturated.
Constructing non-compact operators into c₀
Iryna Banakh, Taras Banakh (2010)
Studia Mathematica
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We prove that for each dense non-compact linear operator S: X → Y between Banach spaces there is a linear operator T: Y → c₀ such that the operator TS: X → c₀ is not compact. This generalizes the Josefson-Nissenzweig Theorem.
The compactum and finite dimensionality in Banach algebras.
Al-Moajil, Abdullah H. (1982)
International Journal of Mathematics and Mathematical Sciences
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A remark on Ʌ-systems in Banach spaces
J. R. Holub (1971)
Colloquium Mathematicae
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On a fixed-point theorem of Banach type
Jochen Reinermann (1970)
Annales Polonici Mathematici
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On the structure of solutions sets of differential and integral equations in Banach spaces
Stanisław Szufla (1977)
Annales Polonici Mathematici
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Some fixed point theorems in Banach spaces
K. Goebel, E. Złotkiewicz (1971)
Colloquium Mathematicae
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Co-density and other properties of the solution set of differential inclusions with noncompact right-hand side
Vladimir V. Goncharov (1996)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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There are studied two classes of differential inclusions with right-hand side admitting noncompact values in a Banach space. Co-density, lower semicontinuity in initial point and relaxation property of the solution set have been obtained.
On the existence of solutions of differential equations of retarded type in a Banach space
V. Lakshmikantham, A. R. Mitchell, R. W. Mitchell (1978)
Annales Polonici Mathematici
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Regulated functions
Dana Fraňková (1991)
Mathematica Bohemica
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The first section consists of auxiliary results about nondecreasing real functions. In the second section a new characterization of relatively compact sets of regulated functions in the sup-norm topology is brought, and the third section includes, among others, an analogue of Helly's Choice Theorem in the space of regulated functions.
Descriptive compact spaces and renorming
L. Oncina, M. Raja (2004)
Studia Mathematica
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We study the class of descriptive compact spaces, the Banach spaces generated by descriptive compact subsets and their relation to renorming problems.
An amalgamation of the Banach spaces associated with James and Schreier, Part I: Banach-space structure
Alistair Bird, Niels Jakob Laustsen (2010)
Banach Center Publications
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We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property on the other. We then investigate the properties of these James-Schreier spaces, paying particular attention to how key properties of their 'ancestors' (that is, the James space and the Schreier space) are expressed in them. Our main...
Linear Colligations and Dynamic System Corresponding to Operators in the Banach Space
Hatamleh, Raed (2007)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 47A48, 93B28, 47A65; Secondary 34C94. New concepts of linear colligations and dynamic systems, corresponding to the linear operators, acting in the Banach spaces, are introduced. The main properties of the transfer function and its relation to the dual transfer function are established.
Kadec Norms on Spaces of Continuous Functions
Burke, Maxim R., Wiesaw, Kubis, Stevo, Todorcevic (2006)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary: 46B03, 46B26. Secondary: 46E15, 54C35. We study the existence of pointwise Kadec renormings for Banach spaces of the form C(K). We show in particular that such a renorming exists when K is any product of compact linearly ordered spaces, extending the result for a single factor due to Haydon, Jayne, Namioka and Rogers. We show that if C(K1) has a pointwise Kadec renorming and K2 belongs to the class of spaces obtained by closing...