Uniformly bounded composition operators in the banach space of bounded (p, k)-variation in the sense of Riesz-Popoviciu

Francy Armao; Dorota Głazowska; Sergio Rivas; Jessica Rojas

Displaying similar documents to “Uniformly bounded composition operators in the banach space of bounded (p, k)-variation in the sense of Riesz-Popoviciu”

Characterization of globally Lipschitzian composition operators in the Banach space ${BV}_{p}^{2} [a, b]$

Janusz Matkowski, Nelson Merentes (1992)

Archivum Mathematicum

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We give a characterization of the globally Lipschitzian composition operators acting in the space $B V_{p}^{2} [a, b]$

On characterization of the Lipschitzian composition operator between spaces of functions of bounded $p$ -variation

Nelson Merentes, Sergio Rivas (1995)

Czechoslovak Mathematical Journal

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Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz

W. Aziz, J. Guerrero, N. Merentes (2010)

Bulletin of the Polish Academy of Sciences. Mathematics

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We show that any uniformly continuous and convex compact valued Nemytskiĭ composition operator acting in the spaces of functions of bounded φ-variation in the sense of Riesz is generated by an affine function.

The uniform boundedness principle for order bounded operators.

Swartz, Charles (1989)

International Journal of Mathematics and Mathematical Sciences

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Composition of (E,2)-summing 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.

Lipschitzian operators of substitution in the space of vector functions of bounded variation

Jerzy Miś (1989)

Annales Polonici Mathematici

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Riesz's lattices and almost positive operators.

José L. Fernández Muñiz, María E. Guzmán Ovando (1998)

Extracta Mathematicae

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Hysteresis memory preserving operators

Pavel Krejčí (1991)

Applications of Mathematics

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The recent development of mathematical methods of investigation of problems with hysteresis has shown that the structure of the hysteresis memory plays a substantial role. In this paper we characterize the hysteresis operators which exhibit a memory effect of the Preisach type (memory preserving operators). We investigate their properties (continuity, invertibility) and we establish some relations between special classes of such operators (Preisach, Ishlinskii and Nemytskii operators)....

Pointwise absolutely convergent series of operators and related classes of Banach spaces

Liudmyla Kadets, Vladimir Kadets (2012)

Open Mathematics

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We study classes of operators represented as a pointwise absolutely convergent series of simpler ones, starting with rank 1 operators. In this short note we address the question, how far the repetition of this procedure can lead.