Class p-wA(s, t) operators and invariant subspaces
In this paper we prove that if T ∈ B(H) is a pure class p-wA(s, t) operator (0 < s, t, s + t = 1 and 0 < p ≤ 1) with dense range such that 0 ∈/ σp(T), then T has a non-trivial invariant subspace if and only if its second generalized Aluthge transformation T˜(s, t) has a non-trivial invariant s...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2020
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| Sorozat: | Acta scientiarum mathematicarum
86 No. 3-4 |
| Kulcsszavak: | Matematika |
| doi: | 10.14232/actasm-020-775-8 |
| Online Access: | http://acta.bibl.u-szeged.hu/73910 |
| Tartalmi kivonat: | In this paper we prove that if T ∈ B(H) is a pure class p-wA(s, t) operator (0 < s, t, s + t = 1 and 0 < p ≤ 1) with dense range such that 0 ∈/ σp(T), then T has a non-trivial invariant subspace if and only if its second generalized Aluthge transformation T˜(s, t) has a non-trivial invariant subspace. Further, we study some conditions for class p-wA(s, t) operators to have a non-trivial invariant subspace. |
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| Terjedelem/Fizikai jellemzők: | 671-679 |
| ISSN: | 2064-8316 |