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On lattice summing operators


Author: Jerzy Szulga
Journal: Proc. Amer. Math. Soc. 87 (1983), 258-262
MSC: Primary 47B10; Secondary 46B30, 47B55
DOI: https://doi.org/10.1090/S0002-9939-1983-0681831-X
MathSciNet review: 681831
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Abstract: Given a Banach space $ E$ and a Banach lattice $ L$, necessary and sufficient conditions on $ E$ and $ L$ are given such that every lattice summing operator $ T:E \to L$ (cf. Introduction) is absolutely summing.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1983-0681831-X
Keywords: $ p$-absolutely summing operators, majorizing operators, Banach lattices, cotype of Banach spaces
Article copyright: © Copyright 1983 American Mathematical Society