Eigenvalue distribution of integral operators defined by Besov-Orlicz kernels.
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Elshobaky, E., Faragallah, M. (1997)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Elshobaky, E., Faragallah, M. (1998)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Stefano Ferri, Jorge Galindo (2009)
Studia Mathematica
We prove that the topology of the additive group of the Banach space c₀ is not induced by weakly almost periodic functions or, what is the same, that this group cannot be represented as a group of isometries of a reflexive Banach space. We show, in contrast, that additive groups of Schwartz locally convex spaces are always representable as groups of isometries on some reflexive Banach space.
Jesús Bastero, Julio Bernues, Nigel Kalton (1989)
Revista Matemática de la Universidad Complutense de Madrid
G. Pisier (1977/1978)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
Bernd Carl (1989)
Banach Center Publications
Pier Luigi Papini (2004)
Extracta Mathematicae
Sophocles K. Mercourakis, Georgios Vassiliadis (2015)
Studia Mathematica
We show that for "most" compact nonmetrizable spaces, the unit ball of the Banach space C(K) contains an uncountable 2-equilateral set. We also give examples of compact nonmetrizable spaces K such that the minimum cardinality of a maximal equilateral set in C(K) is countable.
Josef Daneš (1985)
Commentationes Mathematicae Universitatis Carolinae
Sompong Dhompongsa (2000)
Commentationes Mathematicae Universitatis Carolinae
We obtain the equivalence of the properties and (NUC) in Orlicz function spaces. This answers a question raised by Y. Cui, R. Pluciennik and T. Wang.
C. Finet, W. Schachermayer (1989)
Studia Mathematica
Yunan Cui, Henryk Hudzik, Ryszard Płuciennik (1997)
Annales Polonici Mathematici
C.M. Edwards, G.T. Rüttimann (1987)
Mathematische Zeitschrift
Henryk Hudzik, Zenon Zbąszyniak (1993)
Colloquium Mathematicae
Leonard, I.E., Taylor, K.F. (1985)
International Journal of Mathematics and Mathematical Sciences
Elisabetta Maluta, Pier Luigi Papini (2009)
Colloquium Mathematicae
In reflexive Banach spaces with some degree of uniform convexity, we obtain estimates for Kottman's separation constant in terms of the corresponding modulus.
Gunther Dirr, Vladimir Rakočević, Harald K. Wimmer (2005)
Studia Mathematica
Let W and L be complementary subspaces of a Banach space X and let P(W,L) denote the projection on W along L. We obtain a sufficient condition for a subspace M of X to be complementary to W and we derive estimates for the norm of P(W,L) - P(W,M).
Horst Martini, Zokhrab Mustafaev (2011)
Colloquium Mathematicae
The purpose of this paper is to continue the investigations on extremal values for inner and outer radii of the unit ball of a finite-dimensional real Banach space for the Holmes-Thompson and Busemann measures. Furthermore, we give a related new characterization of ellipsoids in via codimensional cross-section measures.
Ryan Causey (2013)
Studia Mathematica
For each ordinal α < ω₁, we prove the existence of a Banach space with a basis and Szlenk index which is universal for the class of separable Banach spaces with Szlenk index not exceeding . Our proof involves developing a characterization of which Banach spaces embed into spaces with an FDD with upper Schreier space estimates.
G. Pisier (1978/1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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