Operators commuting with a weighted shift
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- by Ralph Gellar
- Proc. Amer. Math. Soc. 23 (1969), 538-545
- DOI: https://doi.org/10.1090/S0002-9939-1969-0259641-X
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References
- S. Banach, Theorie des operations lineaires, Hafner, New York, 1932.
- L. W. Cohen and Nelson Dunford, Transformations on sequence spaces, Duke Math. J. 3 (1937), no. 4, 689–701. MR 1546023, DOI 10.1215/S0012-7094-37-00357-0
- Paul R. Halmos, Günter Lumer, and Juan J. Schäffer, Square roots of operators, Proc. Amer. Math. Soc. 4 (1953), 142–149. MR 53391, DOI 10.1090/S0002-9939-1953-0053391-9
- Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron. MR 0071727
- Juan J. Schäffer, More about invertible operators without roots, Proc. Amer. Math. Soc. 16 (1965), 213–219. MR 173160, DOI 10.1090/S0002-9939-1965-0173160-7 R. A. Gellar, Shift operators in Banach space, Dissertation, Columbia University, New York, N. Y., 1968.
- Ralph Gellar, Operators commuting with a weighted shift, Proc. Amer. Math. Soc. 23 (1969), 538–545. MR 259641, DOI 10.1090/S0002-9939-1969-0259641-X
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 23 (1969), 538-545
- MSC: Primary 47.30
- DOI: https://doi.org/10.1090/S0002-9939-1969-0259641-X
- MathSciNet review: 0259641