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• W4372359547 abstract "Abstract Let E and F be complex Banach spaces, U be an open subset of E and $$1le ple infty .$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>≤</mml:mo> <mml:mi>p</mml:mi> <mml:mo>≤</mml:mo> <mml:mi>∞</mml:mi> <mml:mo>.</mml:mo> </mml:mrow> </mml:math> 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<!-- image only, no MathML or LaTex --> (the canonical predual of Equation missing<!-- image only, no MathML or LaTex -->) and their transpositions on Equation missing<!-- image only, no MathML or LaTex --> Concerning the space Equation missing<!-- image only, no MathML or LaTex --> formed by such mappings and endowed with a natural norm Equation missing<!-- image only, no MathML or LaTex --> 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<!-- image only, no MathML or LaTex --> with the dual of the completion of tensor product space Equation missing<!-- image only, no MathML or LaTex --> endowed with the Chevet–Saphar norm $$g_p.$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>g</mml:mi> <mml:mi>p</mml:mi> </mml:msub> <mml:mo>.</mml:mo> </mml:mrow> </mml:math>" @default.
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• W4372359547 date "2023-05-07" @default.
• W4372359547 modified "2023-10-15" @default.
• W4372359547 title "Cohen strongly p-summing holomorphic mappings on Banach spaces" @default.
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• W4372359547 doi "https://doi.org/10.1007/s43037-023-00269-y" @default.
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