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Displaying 401 – 420 of 1093

Mapping Properties of $c_{0}$

Paul Lewis (1999)

Colloquium Mathematicae

Bessaga and Pełczyński showed that if $c_{0}$ embeds in the dual $X^{*}$ of a Banach space X, then $ℓ^{1}$ embeds as a complemented subspace of X. Pełczyński proved that every infinite-dimensional closed linear subspace of $ℓ^{1}$ contains a copy of $ℓ^{1}$ that is complemented in $ℓ^{1}$ . Later, Kadec and Pełczyński proved that every non-reflexive closed linear subspace of $L^{1} [0, 1]$ contains a copy of $ℓ^{1}$ that is complemented in $L^{1} [0, 1]$ . In this note a traditional sliding hump argument is used to establish a simple mapping property of $c_{0}$ which simultaneously...

Mappings of continuous functions on hyper-Stonean spaces

Michael Cambern, Peter Greim (1987)

Acta Universitatis Carolinae. Mathematica et Physica

Markov Chains, Riesz Transforms and Lipschitz Maps.

K. Ball (1992)

Geometric and functional analysis

Martingale inequalities in exponential Orlicz spaces.

Imparato, Daniele (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Martingales, G...-Embeddings and Quotients of L1 .

N. Ghoussoub, H.P. Rosenthal (1983)

Mathematische Annalen

M-complete approximate identities in operator spaces

A. Arias, H. Rosenthal (2000)

Studia Mathematica

This work introduces the concept of an M-complete approximate identity (M-cai) for a given operator subspace X of an operator space Y. M-cai’s generalize central approximate identities in ideals in C*-algebras, for it is proved that if X admits an M-cai in Y, then X is a complete M-ideal in Y. It is proved, using ’special’ M-cai’s, that if J is a nuclear ideal in a C*-algebra A, then J is completely complemented in Y for any (isomorphically) locally reflexive operator space Y with J ⊂ Y ⊂ A and...

Measures of noncircularity and fixed points of contractive multifunctions.

Marrero, Isabel (2010)

Fixed Point Theory and Applications [electronic only]

Measures of noncompactness and normal structure in Banach spaces

J. García-Falset, A. Jiménez-Melado, E. Lloréns-Fuster (1994)

Studia Mathematica

Sufficient conditions for normal structure of a Banach space are given. One of them implies reflexivity for Banach spaces with an unconditional basis, and also for Banach lattices.

Metric betweenness in normed linear spaces

F. A. Toranzos (1971)

Colloquium Mathematicae

Metric characterization of first Baire class linear forms and octahedral norms

Gilles Godefroy (1989)

Studia Mathematica

Metric ellipses in Minkowski planes.

Wu Senlin, Ji Donghai, Javier Alonso (2005)

Extracta Mathematicae

An ellipse in R2 can be defined as the locus of points for which the sum of the Euclidean distances from the two foci is constant. In this paper we will look at the sets that are obtained by considering in the above definition distances induced by arbitrary norms.

Metric fixed point theory for multivalued mappings [Book]

Hong-Kun Xu (2000)

Metric projections of closed subspaces of c₀ onto subspaces of finite codimension

V. Indumathi (2004)

Colloquium Mathematicae

Let X be a closed subspace of c₀. We show that the metric projection onto any proximinal subspace of finite codimension in X is Hausdorff metric continuous, which, in particular, implies that it is both lower and upper Hausdorff semicontinuous.

Metric spaces with the small ball property

Ehrhard Behrends, Vladimir M. Kadets (2001)

Studia Mathematica

A metric space (M,d) is said to have the small ball property (sbp) if for every ε₀ > 0 it is possible to write M as the union of a sequence (B(xₙ,rₙ)) of closed balls such that the rₙ are smaller than ε₀ and lim rₙ = 0. We study permanence properties and examples of sbp. The main results of this paper are the following: 1. Bounded convex closed sets in Banach spaces have sbp only if they are compact. 2. Precisely the finite-dimensional Banach spaces have sbp. (More generally: a complete metric...

Metrizability of the unit ball of the dual of a quasi-normed cone

L. M. García-Raffi, S. Romaguera, E. A. Sánchez-Pérez, O. Valero (2004)

Bollettino dell'Unione Matematica Italiana

We obtain theorems of metrization and quasi-metrization for several topologies of weak* type on the unit ball of the dual of any separable quasi-normed cone. This is done with the help of an appropriate version of the Alaoglu theorem which is also obtained here.

Minimal convex-valued weak USCO correspondences

Luděk Jokl (1987)

Commentationes Mathematicae Universitatis Carolinae

Minimal convex-valued weak $^{*}$ USCO correspondences and the Radon-Nikodým property

Luděk Jokl (1987)

Commentationes Mathematicae Universitatis Carolinae

Minimal Extremal Subsets of the Unit Sphere.

Frank Deutsch, Robert J. Lindahl (1972)

Mathematische Annalen

Minimal projections onto spaces of symmetric matrices.

Mielczarek, Dominik (2006)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Minkowskian rhombi and squares inscribed in convex Jordan curves

Horst Martini, Senlin Wu (2010)

Colloquium Mathematicae

We show that any convex Jordan curve in a normed plane admits an inscribed Minkowskian square. In addition we prove that no two different Minkowskian rhombi with the same direction of one diagonal can be inscribed in the same strictly convex Jordan curve.

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