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-doubly...
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| Dokumentumtípus: | Cikk |
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2019
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| Sorozat: | Acta scientiarum mathematicarum
85 No. 1-2 |
| Kulcsszavak: | Matematika, Banach tér, Lineáris operátor |
| doi: | 10.14232/actasm-018-801-y |
| Online Access: | http://acta.bibl.u-szeged.hu/62150 |
| Tartalmi kivonat: | 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). |
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| Terjedelem/Fizikai jellemzők: | 325-336 |
| ISSN: | 2064-8316 |