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2022-12-14T04:38:45Z
1169:1170
Backward shifts on function algebras
Takagi, Hiroyuki
Koshimizu, Hironao
Ariizumi, Hiroaki
Backward shifts
Function algebras
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.
Article
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 377(1):135-144 (2011)
ACADEMIC PRESS INC ELSEVIER SCIENCE
2011-05
eng
journal article
AM
http://hdl.handle.net/10091/16087
https://soar-ir.repo.nii.ac.jp/records/11828
https://doi.org/10.1016/j.jmaa.2010.10.012
10.1016/j.jmaa.2010.10.012
0022-247X
AA00252847
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
377
1
135
144
https://soar-ir.repo.nii.ac.jp/record/11828/files/backward-shifts.pdf
application/pdf
103.5 kB
2015-09-28