s-Numbers of operators in Banach spaces
Albrecht Pietsch (1974)
Studia Mathematica
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Albrecht Pietsch (1974)
Studia Mathematica
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D. van Dulst (1970)
Studia Mathematica
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Z. Lipecki (1984)
Studia Mathematica
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P. Borst (1992)
Fundamenta Mathematicae
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We will construct weakly infinite-dimensional (in the sense of Y. Smirnov) spaces X and Y such that Y contains X topologically and and . Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.
J. Morrell, J. Retherford (1972)
Studia Mathematica
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Piet Borst (1988)
Fundamenta Mathematicae
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J. Manuceau, A. Verbeure (1972)
Annales de l'I.H.P. Physique théorique
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T. Figiel (1972)
Studia Mathematica
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Gerd Herzog (1992)
Studia Mathematica
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We show that for a real separable Banach space X there are operators in B(X) having supercyclic vectors if and only if dim X ≤ 2 or dim X = ∞.
M. M. Dodson (1992)
Acta Arithmetica
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J. Lindenstrauss, A. Pełczyński (1968)
Studia Mathematica
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