$p$-factorable operators

φ-factorable operators and Weyl-Heisenberg frames on LCA groups

φ-factorable operators and weyl-heisenberg frames on lca groups

φ-factorable operators and weyl-heisenberg frames on lca groups

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LIPSCHITZ p-INTEGRAL OPERATORS AND LIPSCHITZ p-NUCLEAR OPERATORS

In this note we introduce strongly Lipschitz p-integral operators, strongly Lipschitz p-nuclear operators and Lipschitz p-nuclear operators. It is shown that for a linear operator, the Lipschitz p-nuclear norm is the same as its usual p-nuclear norm under certain conditions. We also prove that the Lipschitz 2-dominated operators and the strongly Lipschitz 2-integral operators are the same with ...

operators on L ( L p ) and ` p - strictly singular operators

A classification of weakly compact multiplication operators on L(Lp), 1 < p < ∞, is given. This answers a question raised by Saksman and Tylli in 1992. The classification involves the concept of `p-strictly singular operators, and we also investigate the structure of general `p-strictly singular operators on Lp . The main result is that if an operator T on Lp , 1 < p < 2, is `p-strictly singula...