Lifting properties in operator ranges
Given a bounded positive linear operator A on a Hilbert space H we consider the semi-Hilbertian space (H, ( , ) A ), where (£,rj)A = {A£,,rj). On the other hand, we consider the operator range R(A1/ 2) with its canonical Hilbertian structure, denoted by R(A 1/2 ). In this paper we explore the relati...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2009
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| Sorozat: | Acta scientiarum mathematicarum
75 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16324 |
| Tartalmi kivonat: | Given a bounded positive linear operator A on a Hilbert space H we consider the semi-Hilbertian space (H, ( , ) A ), where (£,rj)A = {A£,,rj). On the other hand, we consider the operator range R(A1/ 2) with its canonical Hilbertian structure, denoted by R(A 1/2 ). In this paper we explore the relationship between different types of operators on (H, ( , ) A ) with classical subsets of operators on , like Hermitian, normal, contractions, projections, partial isometries and so on. We extend a theorem by M. G. Krein on symmetrizable operators and a result by M. Mbekhta on reduced minimum modulus. |
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| Terjedelem/Fizikai jellemzők: | 635-653 |
| ISSN: | 0001-6969 |