%V 86
%D 2020
%P 671-679
%L acta73910
%J Acta scientiarum mathematicarum
%O Bibliogr.: p. 678-679. ; ĂśsszefoglalĂĄs angol nyelven
%T Class p-wA(s, t) operators and invariant subspaces
%A  Prasad T.
%X 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.
%N 3-4
%K Matematika