On the class $\textbf {A}_ {1,\aleph _ 0}$
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- by Bebe Prunaru PDF
- Proc. Amer. Math. Soc. 112 (1991), 45-51 Request permission
Abstract:
The solvability of certain systems of simultaneous equations in the predual of a dual operator algebra is studied. The main result is a geometric criterion for membership in the class ${A_{1,{\aleph _0}}}$.References
- Hari Bercovici, Ciprian Foias, and Carl Pearcy, Dual algebras with applications to invariant subspaces and dilation theory, CBMS Regional Conference Series in Mathematics, vol. 56, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 1985. MR 787041, DOI 10.1090/cbms/056
- Bernard Chevreau, George Exner, and Carl Pearcy, Sur la rèflexivité des contractions de l’espace hilbertien, C. R. Acad. Sci. Paris Sér. I Math. 305 (1987), no. 4, 117–120 (French, with English summary). MR 901622
- Bernard Chevreau and Carl Pearcy, On the structure of contraction operators. I, J. Funct. Anal. 76 (1988), no. 1, 1–29. MR 923042, DOI 10.1016/0022-1236(88)90046-8
- Robert F. Olin and James E. Thomson, Algebras of subnormal operators, J. Functional Analysis 37 (1980), no. 3, 271–301. MR 581424, DOI 10.1016/0022-1236(80)90045-2
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 45-51
- MSC: Primary 47A65; Secondary 47A15, 47D27
- DOI: https://doi.org/10.1090/S0002-9939-1991-1055779-X
- MathSciNet review: 1055779