Extreme positive contractions on the Hilbert space
Grzaslewicz, Ryszard (1989)
Portugaliae mathematica
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Grzaslewicz, Ryszard (1989)
Portugaliae mathematica
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Ryszard Grzaślewicz (1996)
Commentationes Mathematicae Universitatis Carolinae
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In the paper the geometric properties of the positive cone and positive part of the unit ball of the space of operator-valued continuous space are discussed. In particular we show that . Moreover we describe exposed, strongly exposed and denting points.
Albrecht Pietsch (1974)
Studia Mathematica
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D. Van Dulst (1971)
Compositio Mathematica
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Petr Holicky, Václav Komínek (2000)
Extracta Mathematicae
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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.
A. Pełczyński (1976)
Studia Mathematica
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