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Lipschitz (q, p, E)-summing operators on injective Lipschitz tensor products of spaces

Abdelhamid Tallab

Abdelhamid Tallab

Laboratoire d’Analyse Fonctionnelle et G´eom´etrie des Espaces, University of M’silaM’sila, Algeria
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Tallab, Abdelhamid
  
May 29, 2020
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Published Online: May 29, 2020
Page range: 127 - 142
Received: Feb 23, 2020
Accepted: May 06, 2020
DOI: https://doi.org/10.2478/mjpaa-2020-0010
Keywords
© 2020 Abdelhamid Tallab, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, we introduce the notion of (q, p)-mixing operators from the injective tensor product space E ̂⊗∈F into a Banach space G which we call (q, p, F)-mixing. In particular, we extend the notion of (q, p, E)-summing operators which is a special case of (q, p, F)-mixing operators to Lipschitz case by studying their properties and showing some results for this notion.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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