On a result of K.M. Saidukov
Jun, Kunás K. (1971)
Portugaliae mathematica
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Jun, Kunás K. (1971)
Portugaliae mathematica
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I. J. Maddox (1974)
Compositio Mathematica
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Haskell Rosenthal (1971)
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Z. Ciesielski (1966)
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Yunan Cui, Henryk Hudzik (1999)
Collectanea Mathematica
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D. Przeworska-Rolewicz (1970)
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P. Clément, B. de Pagter, F. Sukochev, H. Witvliet (2000)
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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.
L. Włodarski (1963)
Colloquium Mathematicae
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Paul Sisson (1995)
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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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