Geodesic
On Shift Operators
Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 85-94

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DOI

A definition of an isometric shift operator on a Banach space is given which extends the usual definition of a shift operator on a separable Hilbert space. It is shown that there is no such shift on many of the common Banach spaces of continuous functions. The associated ideas of a semi-shift and a backward shift are also introduced and studied in the case of continuous function spaces.
DOI : 10.4153/CMB-1988-013-8
Mots-clés : 47B38, 47A65 
Holub, J. R. On Shift Operators. Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 85-94. doi: 10.4153/CMB-1988-013-8
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     title = {On {Shift} {Operators}},
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     doi = {10.4153/CMB-1988-013-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-013-8/}
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