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Abstract

J.R. Holub (1988) 1101 introduced the concept of backward shift on Banach spaces. We show that an infinite-dimensional function algebra does not admit a backward shift. Moreover, we define a backward quasi-shift as a weak type of a backward shift, and show that a function algebra A does not admit it, under the assumption that the Choquet boundary of A has at most finitely many isolated points.

Journal

  • JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 377(1), 135-144, 2011-05

    ACADEMIC PRESS INC ELSEVIER SCIENCE

Codes

  • NII Article ID (NAID)
    120004966386
  • NII NACSIS-CAT ID (NCID)
    AA00252847
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    0022-247X
  • Data Source
    IR 
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