Operators with left inverses similar to their adjoints
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- by S. M. Patel PDF
- Proc. Amer. Math. Soc. 41 (1973), 127-131 Request permission
Abstract:
The primary object of this paper is to show that if $T$ is a left invertible operator with a left inverse ${T_1}$ and if there exists an operator $S$ such that ${T^ \ast } = {S^{ - 1}}{T_1}S$ and $0 \notin {\text {cl}}(W(S))$, then $T$ is similar to an isometry.References
- Vasile Istrăţescu and Ioana Istrăţescu, On some classes of operators. II, Math. Ann. 194 (1971), 126–134. MR 290166, DOI 10.1007/BF01362540
- C. R. Putnam, The spectra of operators having resolvents of first-order growth, Trans. Amer. Math. Soc. 133 (1968), 505–510. MR 229073, DOI 10.1090/S0002-9947-1968-0229073-2
- U. N. Singh and Kanta Mangla, Operators with inverses similar to their adjoints, Proc. Amer. Math. Soc. 38 (1973), 258–260. MR 310688, DOI 10.1090/S0002-9939-1973-0310688-5
- James P. Williams, Operators similar to their adjoints, Proc. Amer. Math. Soc. 20 (1969), 121–123. MR 233230, DOI 10.1090/S0002-9939-1969-0233230-5
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 127-131
- MSC: Primary 47A65
- DOI: https://doi.org/10.1090/S0002-9939-1973-0322558-7
- MathSciNet review: 0322558