Linear operators and conjugations on a Banach space
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 -doubl...
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| Veröffentlicht in: | Acta scientiarum mathematicarum (Szeged) 2019-01, Vol.85 (1-2), p.325-336 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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
TS
are (
m + n
- 1,
C
)-symmetries (isometries). |
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| ISSN: | 0001-6969 2064-8316 |
| DOI: | 10.14232/actasm-018-801-y |