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 “More lr saturated L∞ spaces”
On the Kunen-Shelah properties in Banach spaces
Quotients of Banach spaces and surjectively universal spaces
Pandelis Dodos (2010)
Studia Mathematica
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We characterize those classes 𝓒 of separable Banach spaces for which there exists a separable Banach space Y not containing ℓ₁ and such that every space in the class 𝓒 is a quotient of Y.
Some fixed point theorems in Banach spaces
K. Goebel, E. Złotkiewicz (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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A remark on Ʌ-systems in Banach spaces
J. R. Holub (1971)
Colloquium Mathematicae
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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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Existence, uniqueness and continuous dependence of solutions of differential equations in Banach space
Michał Kisielewicz (1989)
Annales Polonici Mathematici
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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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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.
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...
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...
Regulated functions with values in Banach space
Dana Fraňková (2019)
Mathematica Bohemica
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This paper deals with regulated functions having values in a Banach space. In particular, families of equiregulated functions are considered and criteria for relative compactness in the space of regulated functions are given.
The equivalence of some Banach space problems
Stephen A. Saxon, Albert Wilansky (1977)
Colloquium Mathematicae
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On the existence of solutions of an integro-differential equation in Banach spaces
Stanisław Szufla (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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On unconditionally saturated Banach spaces
Pandelis Dodos, Jordi Lopez-Abad (2008)
Studia Mathematica
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We prove a structural property of the class of unconditionally saturated separable Banach spaces. We show, in particular, that for every analytic set 𝓐, in the Effros-Borel space of subspaces of C[0,1], of unconditionally saturated separable Banach spaces, there exists an unconditionally saturated Banach space Y, with a Schauder basis, that contains isomorphic copies of every space X in the class 𝓐.
Commutators in Banach *-algebras
Bertram Yood (2008)
Studia Mathematica
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The set of commutators in a Banach *-algebra A, with continuous involution, is examined. Applications are made to the case where A = B(ℓ₂), the algebra of all bounded linear operators on ℓ₂.