On a theorem of L. Schwartz and its applications to absolutely summing operators
S. Kwapień (1970)
Studia Mathematica
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S. Kwapień (1970)
Studia Mathematica
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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).
Sergio Segura de León (1991)
Studia Mathematica
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J. Uhl (1971)
Studia Mathematica
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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. ...
Dumitru Popa (1997)
Collectanea Mathematica
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S. Kwapień (1968)
Studia Mathematica
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J. Lindenstrauss, A. Pełczyński (1968)
Studia Mathematica
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Narcisse Randrianantoanina (1996)
Colloquium Mathematicae
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Charles Swartz (1976)
Studia Mathematica
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