Absolutely summing operators in -spaces and their applications
J. Lindenstrauss, A. Pełczyński (1968)
Studia Mathematica
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J. Lindenstrauss, A. Pełczyński (1968)
Studia Mathematica
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S. Kwapień (1970)
Studia Mathematica
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Arne Persson (1969)
Studia Mathematica
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J. Holub (1972)
Studia Mathematica
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J. Morrell, J. Retherford (1972)
Studia Mathematica
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J. López Molina, E. Sánchez Pérez (2000)
Studia Mathematica
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We study tensor norms and operator ideals related to the ideal , 1 < p < ∞, 0 < σ < 1, of (p,σ)-absolutely continuous operators of Matter. If α is the tensor norm associated with (in the sense of Defant and Floret), we characterize the -nuclear and - integral operators by factorizations by means of the composition of the inclusion map with a diagonal operator , where r is the conjugate exponent of p’/(1-σ). As an application we study the reflexivity of the components...
C. Piñeiro (1994)
Collectanea Mathematica
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Joel Cohen (1970)
Studia Mathematica
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Klaus-Detlef Kürsten (1991)
Studia Mathematica
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S. Kwapień (1968)
Studia Mathematica
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E. Gluskin, A. Pietsch, J. Puhl (1980)
Studia Mathematica
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Reisner, Shlomo (1995)
Serdica Mathematical Journal
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A new, unified presentation of the ideal norms of factorization of operators through Banach lattices and related ideal norms is given.