A criterion for compositions of (p,q)-absolutely summing operators to be compact
B. Maurey, A. Pełczyński (1976)
Studia Mathematica
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B. Maurey, A. Pełczyński (1976)
Studia Mathematica
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I. J. Maddox (1974)
Compositio Mathematica
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S. Kwapień (1968)
Studia Mathematica
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O. Blasco (1987)
Studia Mathematica
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C. Piñeiro (1994)
Collectanea Mathematica
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Yunan Cui, Henryk Hudzik (1999)
Collectanea Mathematica
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Paul Sisson (1995)
Studia Mathematica
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A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. The first complete rigid space was published in 1981 in [2]. Clearly a rigid space is a trivial-dual space, and admits no compact endomorphisms. In this paper a modification of the original construction results in a rigid space which is, however, the domain space of a compact operator, answering a question that was first raised soon after the existence of complete rigid...
S. C. Chakrabarti (1954)
Rendiconti del Seminario Matematico della Università di Padova
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Ryotaro Sato (1996)
Studia Mathematica
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We give a counterexample showing that does not imply the existence of a strictly positive function u in with Tu = u, where T is a power bounded positive linear operator on of a σ-finite measure space. This settles a conjecture by Brunel, Horowitz, and Lin.
P. Clément, B. de Pagter, F. Sukochev, H. Witvliet (2000)
Studia Mathematica
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We study the interplay between unconditional decompositions and the R-boundedness of collections of operators. In particular, we get several multiplier results of Marcinkiewicz type for -spaces of functions with values in a Banach space X. Furthermore, we show connections between the above-mentioned properties and geometric properties of the Banach space X.