Geodesic
Bilateral upper-left shifts on double sequence spaces
Filomat, Tome 36 (2022) no. 8, p. 2573

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DOI

In this paper, we study the bilateral upper-left shifts B on the weighted double sequence spaces L p (Z, v) and characterize the hypercyclicity and supercyclicity of B : L p (Z, v) → L p (Z, v) based on Salas's previous results about the bilateral weighted backward shifts acting on l 2 (Z). Furthermore, we construct a special weight sequence such that B and the weighted bilateral upper-left shifts B w are conjugate, and we generalize the results to B w : L p (Z) → L p (Z) via this conjugacy. Finally, we investigate the chaoticity of the bilateral upper-left shifts.
DOI : 10.2298/FIL2208573G
Classification : 47A16, 47B37
Keywords: Upper-Left shifts, Double sequence spaces, Hypercyclicity, Supercyclicity, Devaney chaos 
Zhitao Guo. Bilateral upper-left shifts on double sequence spaces. Filomat, Tome 36 (2022) no. 8, p. 2573 . doi: 10.2298/FIL2208573G
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     title = {Bilateral upper-left shifts on double sequence spaces},
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     year = {2022},
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     doi = {10.2298/FIL2208573G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2208573G/}
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