Class p-wA(s, t) operators and invariant subspaces

Prasad T.: Class p-wA(s, t) operators and invariant subspaces. In: Acta scientiarum mathematicarum, (86) 3-4. pp. 671-679. (2020)

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Abstract

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.

Item Type:	Article
Heading title:	Analysis
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2020
Volume:	86
Number:	3-4
ISSN:	2064-8316
Page Range:	pp. 671-679
Language:	English
Related URLs:	http://acta.bibl.u-szeged.hu/73790/
DOI:	10.14232/actasm-020-775-8
Uncontrolled Keywords:	Matematika
Additional Information:	Bibliogr.: p. 678-679. ; összefoglalás angol nyelven
Date Deposited:	2021. Nov. 15. 14:48
Last Modified:	2021. Nov. 15. 14:48
URI:	http://acta.bibl.u-szeged.hu/id/eprint/73910

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