@article{bwmeta1.element.bwnjournal-article-bcpv30z1p363bwm,
author = {\.Zelazko, W.},
title = {Generation of B(X) two commutative subalgebras - results and open problems},
journal = {Banach Center Publications},
volume = {29},
year = {1994},
pages = {363-367},
zbl = {0813.47056},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv30z1p363bwm}
}
Żelazko, W. Generation of B(X) two commutative subalgebras - results and open problems. Banach Center Publications, Tome 29 (1994) pp. 363-367. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv30z1p363bwm/
[000] [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. | Zbl 0699.46028
[001] [2] C. Davis, Generators of the ring of bounded operators, Proc. Amer. Math. Soc. 6 (1955), 970-972. | Zbl 0066.09801
[002] [3] R. G. Douglas and C. Pearcy, von Neumann algebras with a single generator, Michigan Math. J. 16 (1969), 21-26. | Zbl 0175.44301
[003] [4] R. C. James, A nonreflexive Banach space isometric with its second conjugate, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 174-177. | Zbl 0042.36102
[004] [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).
[005] [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. | Zbl 0717.47017
[006] [7] E. A. Nordgren, M. Radjabalipour, H. Radjavi and P. Rosenthal, Quadratic operators and invariant subspaces, Studia Math. 88 (1988), 263-268. | Zbl 0648.47008
[007] [8] C. L. Olsen and W. R. Zame, Some C*-algebras with single generator, Trans. Amer. Math. Soc. 215 (1976), 205-217. | Zbl 0342.46047
[008] [9] C. Pearcy, W*-algebras with a single generator, Proc. Amer. Math. Soc. 13 (1962), 831-832. | Zbl 0127.33002
[009] [10] C. Pearcy, On certain von Neumann algebras which are generated by partial isometries, ibid. 15 (1964), 393-395. | Zbl 0135.16803
[010] [11] T. Saitô, On generators of von Neumann algebras, Michigan Math. J. 15 (1968), 373-376. | Zbl 0175.14103
[011] [12] P. Šemrl, On algebraic generation of B(X) by two subalgebras with square zero, Studia Math. 97 (1991), 139-142. | Zbl 0747.47027
[012] [13] N. Suzuki and T. Saitô, On the operators which generate continuous von Neumann algebras, Tôhoku Math. J. (2) 15 (1963), 277-280. | Zbl 0194.15903
[013] [14] D. M. Topping, UHF algebras are singly generated, Math. Scand. 22 (1968), 224-226 (1969). | Zbl 0172.41303
[014] [15] A. Wilansky, Subalgebras of B(X), Proc. Amer. Math. Soc. 22 (1971), 355-360.
[015] [16] W. Wogen, On generators for von Neumann algebras, Bull. Amer. Math. Soc. 75 (1969), 95-99. | Zbl 0185.21203
[016] [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.
[017] [18] W. Żelazko, Algebraic generation of B(X) by two subalgebras of square zero, Studia Math. 90 (1988), 205-212.
[018] [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. | Zbl 0675.47044
[019] [20] W. Żelazko, Concerning generation of B(X) by two subalgebras with square zero, Funct. Approx. Comment. Math., to appear. | Zbl 0804.46055