Generation of B(X) two commutative subalgebras - results and open problems

• Autorzy: W. Żelazko
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1994
• Tom: 30
• Numer: 1
• Strony: 363-367

Daty

wydano

1994

Twórcy

autor

W. Żelazko

• Institute of Mathematics, Polish Academy of Sciences, P.O. Box 137, 00-950 Warszawa, Poland

Bibliografia

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• [4] R. C. James, A nonreflexive Banach space isometric with its second conjugate, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 174-177.
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• [6] V. Müller and W. Żelazko, B(X) is generated in strong topology by two of its elements, Czechoslovak Math. J. 39 (114) (1989), 486-489.
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• [9] C. Pearcy, W*-algebras with a single generator, Proc. Amer. Math. Soc. 13 (1962), 831-832.
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• [11] T. Saitô, On generators of von Neumann algebras, Michigan Math. J. 15 (1968), 373-376.
• [12] P. Šemrl, On algebraic generation of B(X) by two subalgebras with square zero, Studia Math. 97 (1991), 139-142.
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• [16] W. Wogen, On generators for von Neumann algebras, Bull. Amer. Math. Soc. 75 (1969), 95-99.
• [17] W. Żelazko, B(H) is generated by two of its abelian subalgebras, in: Invariant Subspaces and Allied Topics, Narosa Publ. House, 1990, 144-146.
• [18] W. Żelazko, Algebraic generation of B(X) by two subalgebras of square zero, Studia Math. 90 (1988), 205-212.
• [19] W. Żelazko, B(X) is generated in strong operator topology by two subalgebras with square zero, Proc. Roy. Irish Acad. Sect. A 88 (1988), 19-21.
• [20] W. Żelazko, Concerning generation of B(X) by two subalgebras with square zero, Funct. Approx. Comment. Math., to appear.