On semi-groups of contractions in Hilbert spaces
W. Mlak (1966)
Studia Mathematica
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W. Mlak (1966)
Studia Mathematica
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Marek Ptak (1989)
Annales Polonici Mathematici
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W. Mlak (1982)
Banach Center Publications
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I. Halperin (1963)
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T. Husain, B. D. Malviya (1972)
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Let ℳ be a semi-finite factor and let 𝓙(ℳ ) be the set of operators T in ℳ such that T = ETE for some finite projection E. We obtain a representation theorem for unitarily invariant norms on 𝓙(ℳ ) in terms of Ky Fan norms. As an application, we prove that the class of unitarily invariant norms on 𝓙(ℳ ) coincides with the class of symmetric gauge norms on a classical abelian algebra, which generalizes von Neumann's classical 1940 result on unitarily invariant norms on Mₙ(ℂ). As another...
S. P. Arya, M. P. Bhamini (1983)
Matematički Vesnik
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