Lipschitz operators represented by vector measures
| dc.contributor.author | Refice, Ouafa | |
| dc.contributor.author | Sypervisor :Hamidi, Khaled | |
| dc.date.accessioned | 2023-07-18T07:45:16Z | |
| dc.date.available | 2023-07-18T07:45:16Z | |
| dc.date.issued | 2023-06-10 | |
| dc.description.abstract | In this memory,the concept of Lipschitz Pietsch-p-integral operators, where (1 6 p < 1). These operators are defined as Lipschitz mappings between a metric space and a Banach space. They can be represented by an integral with respect to a vector measure defined on a suitable compact Hausdorff space. We show that this type of operator fits into the theory of composition Banach Lipschitz operator ideals. and a rich factorization theory for these operators, which provides a lot of information about them. This factorization theory is based on the classical Banach spaces C(K); Lp( ;K) and L1( ;K), where K is a compact Hausdorff space. We believe that this work provides a new and useful perspective on Lipschitz Pietsch-p-integral operators. We hope that it will be of interest to researchers in functional analysis and operator theory. | en_US |
| dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/40608 | |
| dc.language.iso | en | en_US |
| dc.publisher | University of M'sila | en_US |
| dc.subject | Vector measures„ Arens-Eells space,Lipschitz operator,Lipschitz operator ideals,Lipschitz mapping, factorization of operators, | en_US |
| dc.title | Lipschitz operators represented by vector measures | en_US |
| dc.type | Thesis | en_US |