On a subclass of norm attaining operators
A bounded linear operator T : H1 → H2, where H1, H2 are Hilbert spaces, is said to be norm attaining if there exists a unit vector x ∈ H1 such that kT xk = kTk and absolutely norm attaining (or AN -operator) if T|M : M → H2 is norm attaining for every closed subspace M of H1. We prove a structure th...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2021
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| Sorozat: | Acta scientiarum mathematicarum
87 No. 1-2 |
| Kulcsszavak: | Matematika |
| doi: | 10.14232/actasm-020-426-9 |
| Online Access: | http://acta.bibl.u-szeged.hu/73928 |
| LEADER | 01308nab a2200217 i 4500 | ||
|---|---|---|---|
| 001 | acta73928 | ||
| 005 | 20211116090750.0 | ||
| 008 | 211116s2021 hu o 0|| eng d | ||
| 022 | |a 2064-8316 | ||
| 024 | 7 | |a 10.14232/actasm-020-426-9 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Ramesh Golla | |
| 245 | 1 | 3 | |a On a subclass of norm attaining operators |h [elektronikus dokumentum] / |c Ramesh Golla |
| 260 | |c 2021 | ||
| 300 | |a 247-263 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 87 No. 1-2 | |
| 520 | 3 | |a A bounded linear operator T : H1 → H2, where H1, H2 are Hilbert spaces, is said to be norm attaining if there exists a unit vector x ∈ H1 such that kT xk = kTk and absolutely norm attaining (or AN -operator) if T|M : M → H2 is norm attaining for every closed subspace M of H1. We prove a structure theorem for positive operators in β(H) := {T ∈ B(H) : T|M : M → M is norm attaining for all M ∈ RT }, where RT is the set of all reducing subspaces of T. We also compare our results with those of absolutely norm attaining operators. Later, we characterize all operators in this new class. | |
| 695 | |a Matematika | ||
| 700 | 0 | 1 | |a Osaka Hiroyuki |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73928/1/math_087_numb_001-002_247-263.pdf |z Dokumentum-elérés |