Year: 2022
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Achour, D., Tiaiba, T.
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4288055580