IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
On complementable operators in the sense of T. Ando
Autor/es:
ARIAS, M. LAURA; MAESTRIPIERI, ALEJANDRA; CORACH, GUSTAVO
Revista:
LINEAR ALGEBRA AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Año: 2020 vol. 594 p. 158 - 176
ISSN:
0024-3795
Resumen:
Consider an operator A:H→K between Hilbert spaces and closed subspaces S⊂H and T⊂K. If there exist projections E on H and F on K such that R(E)=S, R(F)=T and AE=F⁎A then A is called (S,T)-complementable. The origin of this notion comes from the idea of T. Ando of defining Schur complements in terms of operators. In this paper we present some characterizations of these triples (A,S,T) and applications to bilateral Schur complements and generalized Wiener-Hopf operators.
