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A noninvertible unweighted bilateral shift


Authors: Ralph Gellar and Robert Silber
Journal: Proc. Amer. Math. Soc. 61 (1976), 225-226
MSC: Primary 47B37
DOI: https://doi.org/10.1090/S0002-9939-1976-0425665-6
MathSciNet review: 0425665
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Abstract: A noninvertible unweighted bilateral shift is constructed in a Nakano $ {l^{{p_i}}}$ space.


References [Enhancements On Off] (What's this?)

  • [1] Ralph Gellar, Operators commuting with a weighted shift, Proc. Amer. Math. Soc. 23 (1969), 538-545. MR 41 #4277a. MR 0259641 (41:4277a)
  • [2] Hidegorô Nakano, Modulared sequence spaces, Proc. Japan Acad. 27 (1951), 508-512. MR 13, 954. MR 0047929 (13:954g)
  • [3] -, Topology and linear topological spaces, Maruzen, Tokyo, 1951. MR 13, 753. MR 0046560 (13:753b)
  • [4] Albert Wilansky, Functional analysis, Blaisdell, New York and London, 1964. MR 30 #425. MR 0170186 (30:425)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0425665-6
Keywords: Shift operator, weighted shift operator, sequence space
Article copyright: © Copyright 1976 American Mathematical Society

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