Isometries on $L^{p}$ spaces and copies of $l^{p}$ shifts
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- by Stephen L. Campbell, Gary D. Faulkner and Marianne L. Gardner PDF
- Proc. Amer. Math. Soc. 77 (1979), 198-200 Request permission
Abstract:
Necessary and sufficient conditions are given on an isometry V in an ${L^p}$ space so that there exists an invariant subspace M such that V restricted to M is isometrically equivalent to the unilateral shift on ${l^p}$.References
- S. Campbell, G. Faulkner, and R. Sine, Isometries, projections and Wold decompositions, Operator theory and functional analysis (Papers, Summer Meeting, Amer. Math. Soc., Providence, R.I., 1978) Res. Notes in Math., vol. 38, Pitman, Boston, Mass.-London, 1979, pp. 85–114. MR 579023
- John Lamperti, On the isometries of certain function-spaces, Pacific J. Math. 8 (1958), 459–466. MR 105017, DOI 10.2140/pjm.1958.8.459
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 77 (1979), 198-200
- MSC: Primary 47A15; Secondary 47B37
- DOI: https://doi.org/10.1090/S0002-9939-1979-0542084-5
- MathSciNet review: 542084