Mapping properties of relatively regular operators
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- by S. R. Caradus PDF
- Proc. Amer. Math. Soc. 47 (1975), 409-412 Request permission
Abstract:
A relatively regular operator is one with closed complemented range and nullspace. It is shown that if $T$ is relatively regular and $f$ is univalent on the spectrum of $T$ with $f(0) = 0$, then $f(T)$ is also relatively regular.References
- Edgar Asplund, A non-closed relative spectrum, Ark. Mat. 3 (1958), 425–427. MR 91431, DOI 10.1007/BF02589496
- F. V. Atkinson, On relatively regular operators, Acta Sci. Math. (Szeged) 15 (1953), 38–56. MR 56835
- Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 409-412
- DOI: https://doi.org/10.1090/S0002-9939-1975-0353022-9
- MathSciNet review: 0353022