Strongly strictly cyclic weighted shifts
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- by James H. Hedlund
- Proc. Amer. Math. Soc. 57 (1976), 119-121
- DOI: https://doi.org/10.1090/S0002-9939-1976-0402530-1
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Abstract:
An example is given of a unilateral weighted shift on complex Hilbert space which is strictly cyclic but not strongly strictly cyclic. Similar examples of weighted shifts on the sequence spaces ${l^p}$, for $1 < p < \infty$, are indicated.References
- Domingo A. Herrero, Strictly cyclic weighted shifts, Rev. Un. Mat. Argentina 28 (1976/77), no. 2, 69–74. MR 467379
- Edward Kerlin and Alan Lambert, Strictly cyclic shifts on $l_{p}$, Acta Sci. Math. (Szeged) 35 (1973), 87–94. MR 328658
- Allen L. Shields, Weighted shift operators and analytic function theory, Topics in operator theory, Math. Surveys, No. 13, Amer. Math. Soc., Providence, R.I., 1974, pp. 49–128. MR 0361899
Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 119-121
- MSC: Primary 47B37
- DOI: https://doi.org/10.1090/S0002-9939-1976-0402530-1
- MathSciNet review: 0402530