On algebras generated by invertible operators
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- by Avraham Feintuch PDF
- Proc. Amer. Math. Soc. 63 (1977), 66-68 Request permission
Abstract:
Let T be an invertible operator such that the compact operators in $R(T)$ are weakly dense in it. Then ${T^{ - 1}} \in R(T)$. In particular, if T is an essentially unitary ${C_0}$ operator, ${T^{ - 1}} \in R(T)$.References
- Avraham Feintuch, On invertible operators and invariant subspaces, Proc. Amer. Math. Soc. 43 (1974), 123β126. MR 331082, DOI 10.1090/S0002-9939-1974-0331082-8
- Eric A. Nordgren, Compact operators in the algebra generated by essentially unitary $C_{0}$ operators, Proc. Amer. Math. Soc. 51 (1975), 159β162. MR 370222, DOI 10.1090/S0002-9939-1975-0370222-2
- Donald Sarason, The $H^{p}$ spaces of an annulus, Mem. Amer. Math. Soc. 56 (1965), 78. MR 188824
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 66-68
- MSC: Primary 47C05; Secondary 47A65
- DOI: https://doi.org/10.1090/S0002-9939-1977-0435929-9
- MathSciNet review: 0435929