Abstract
AbstractLet E and F be complex Banach spaces, U be an open subset of E and $$1\le p\le \infty .$$
1
≤
p
≤
∞
.
We introduce and study the notion of a Cohen strongly p-summing holomorphic mapping from U to F, a holomorphic version of a strongly p-summing linear operator. For such mappings, we establish both Pietsch Domination/Factorization Theorems and analyse their linearizations from "Equation missing" (the canonical predual of "Equation missing") and their transpositions on "Equation missing" Concerning the space "Equation missing" formed by such mappings and endowed with a natural norm "Equation missing" we show that it is a regular Banach ideal of bounded holomorphic mappings generated by composition with the ideal of strongly p-summing linear operators. Moreover, we identify the space "Equation missing" with the dual of the completion of tensor product space "Equation missing" endowed with the Chevet–Saphar norm $$g_p.$$
g
p
.
Funder
Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía
Ministerio de Ciencia e Innovación
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Cited by
1 articles.
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