Lipschitz integral operators represented by vector measures
نویسندگان
چکیده
<p>In this paper we introduce the concept of Lipschitz Pietsch-p-integral <br />mappings, (1≤p≤∞), between a metric space and Banach space. We represent these mappings by an integral with respect to vector<br />measure defined on suitable compact Hausdorff space, obtaining in way rich factorization theory through classical spaces C(K), L_p(μ,K) L_∞(μ,K). Also show that type operators fits composition operator ideals. For p=∞, characterize Pietsch-∞-integral schema weakly operator. Finally, relationship some well known is given.</p>
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ژورنال
عنوان ژورنال: Applied general topology
سال: 2021
ISSN: ['1576-9402', '1989-4147']
DOI: https://doi.org/10.4995/agt.2021.15061