On algebraic generation of B(X) by two subalgebras with square zero
Peter Šemrl (1990)
Studia Mathematica
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Peter Šemrl (1990)
Studia Mathematica
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Vladimír Müller, Wiesław Żelazko (1989)
Czechoslovak Mathematical Journal
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J. Lindenstrauss, A. Pełczyński (1968)
Studia Mathematica
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T. Figiel (1972)
Studia Mathematica
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Stefan Heinrich (1982)
Studia Mathematica
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R. Berntzen, A. Sołtysiak (1997)
Studia Mathematica
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The algebra B(ℋ) of all bounded operators on a Hilbert space ℋ is generated in the strong operator topology by a single one-dimensional projection and a family of commuting unitary operators with cardinality not exceeding dim ℋ. This answers Problem 8 posed by W. Żelazko in [6].
A. A. Albanese, V. B. Moscatelli (1996)
Revista Matemática de la Universidad Complutense de Madrid
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We prove that the direct sum and the product of countably many copies of L[0, 1] are primary locally convex spaces. We also give some related results.
P. Wojtaszczyk (1979)
Studia Mathematica
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A. Pełczyński (1968)
Studia Mathematica
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