References & Citations
Mathematics > Functional Analysis
Title: Lattice sequence spaces and summing mappings
(Submitted on 24 Jul 2022 (v1), last revised 26 Apr 2024 (this version, v4))
Abstract: The objective of this study is to advance the theory concerning positive summing operators. Our focus lies in examining the space of positive strongly p-summable sequences and the space of positive unconditionally p-summable sequences. We utilize these in conjunction with the Banach lattice of positive weakly p-summable sequences to present and characterize the classes of positive strongly (p; q)-summing operators, positive (p; q)-summing, and positive Cohen (p; q)-nuclear operators. Additionally, we describe these classes in terms of the continuity of an associatedte nsor operator that is defined between tensor products of sequences spaces.
Submission history
From: Toufik Tiaiba [view email][v1] Sun, 24 Jul 2022 01:42:08 GMT (11kb)
[v2] Mon, 28 Nov 2022 17:06:48 GMT (15kb)
[v3] Tue, 29 Nov 2022 07:44:19 GMT (15kb)
[v4] Fri, 26 Apr 2024 16:20:49 GMT (16kb)
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