On a class of absolutely p-summing operators

Tin Wong

Displaying similar documents to “On a class of absolutely p-summing operators”

On a theorem of L. Schwartz and its applications to absolutely summing operators

S. Kwapień (1970)

Studia Mathematica

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Dominated operators on C[0, 1] and the (CRP).

G. Emmanuele (1990)

Collectanea Mathematica

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We show that a B-space E has the (CRP) if and only if any dominated operator T from C[0, 1] into E is compact. Hence we apply this result to prove that c0 embeds isomorphically into the B-space of all compact operators from C[0, 1] into an arbitrary B-space E without the (CRP).

Bukhvalov type characterizations of Urysohn operators

Sergio Segura de León (1991)

Studia Mathematica

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On a class of operators on Orlicz spaces

J. Uhl (1971)

Studia Mathematica

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The Grothendieck-Pietsch domination principle for nonlinear summing integral operators

Karl Lermer (1998)

Studia Mathematica

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We transform the concept of p-summing operators, 1≤ p < ∞, to the more general setting of nonlinear Banach space operators. For 1-summing operators on B(Σ,X)-spaces having weak integral representations we generalize the Grothendieck-Pietsch domination principle. This is applied for the characterization of 1-summing Hammerstein operators on C(S,X)-spaces. For p-summing Hammerstein operators we derive the existence of control measures and p-summing extensions to B(Σ,X)-spaces. ...