Linear operators and conjugations on a Banach space

Motoyoshi, Haruna: Linear operators and conjugations on a Banach space. Acta scientiarum mathematicarum, (85) 1-2. pp. 325-336. (2019)

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Abstract

In this paper we study a conjugation on a Banach space X and show properties of operators concerning conjugation C and show spectral properties of such operators. Next we show spectral properties of an (m, C)-symmetry (isometry) operator T on a complex Banach space X . We prove that, for a C-doubly commuting pair (T, S), if T is an (m, C)-symmetry (isometry) and S is an (n, C)-symmetry (isometry), then T + S and T S are (m + n − 1, C)- symmetries (isometries).

Item Type: Article
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2019
Volume: 85
Number: 1-2
Page Range: pp. 325-336
ISSN: 2064-8316
DOI: https://doi.org/10.14232/actasm-018-801-y
Uncontrolled Keywords: Matematika, Banach tér, Lineáris operátor
Additional Information: Bibliogr.: 336. p. ; összefoglalás angol nyelven
Official URL: http://www.acta.hu
Date Deposited: 2019. Sep. 25. 11:01
Last Modified: 2019. Sep. 25. 11:01
URI: http://acta.bibl.u-szeged.hu/id/eprint/62150

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