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1994 | 30 | 1 | 363-367
Tytuł artykułu

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

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
Słowa kluczowe
Rocznik
Tom
30
Numer
1
Strony
363-367
Opis fizyczny
Daty
wydano
1994
Twórcy
autor
  • Institute of Mathematics, Polish Academy of Sciences, P.O. Box 137, 00-950 Warszawa, Poland
Bibliografia
  • [1] B. Aniszczyk, R. Frankiewicz and C. Ryll-Nardzewski, An example of a nonseparable Banach algebra without nonseparable commutative subalgebras, Studia Math. 93 (1989), 287-289.
  • [2] C. Davis, Generators of the ring of bounded operators, Proc. Amer. Math. Soc. 6 (1955), 970-972.
  • [3] R. G. Douglas and C. Pearcy, von Neumann algebras with a single generator, Michigan Math. J. 16 (1969), 21-26.
  • [4] R. C. James, A nonreflexive Banach space isometric with its second conjugate, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 174-177.
  • [5] B. S. Mityagin and I. Ts. Èdelshteĭn, Homotopy type of linear groups for two classical Banach spaces, Funktsional. Anal. i Prilozhen. 4 (3) (1970), 61-72 (in Russian).
  • [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.
  • [7] E. A. Nordgren, M. Radjabalipour, H. Radjavi and P. Rosenthal, Quadratic operators and invariant subspaces, Studia Math. 88 (1988), 263-268.
  • [8] C. L. Olsen and W. R. Zame, Some C*-algebras with single generator, Trans. Amer. Math. Soc. 215 (1976), 205-217.
  • [9] C. Pearcy, W*-algebras with a single generator, Proc. Amer. Math. Soc. 13 (1962), 831-832.
  • [10] C. Pearcy, On certain von Neumann algebras which are generated by partial isometries, ibid. 15 (1964), 393-395.
  • [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.
  • [13] N. Suzuki and T. Saitô, On the operators which generate continuous von Neumann algebras, Tôhoku Math. J. (2) 15 (1963), 277-280.
  • [14] D. M. Topping, UHF algebras are singly generated, Math. Scand. 22 (1968), 224-226 (1969).
  • [15] A. Wilansky, Subalgebras of B(X), Proc. Amer. Math. Soc. 22 (1971), 355-360.
  • [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.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-bcpv30z1p363bwm
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