Consistency in invertibility and Fredholmness of operator matrices

Dragana S. Cvetković-Ilić; Marko Kostadinov

doi:10.4171/jst/258

JournalsjstVol. 9, No. 2pp. 635–649

Consistency in invertibility and Fredholmness of operator matrices

Dragana S. Cvetković-Ilić
University of Niš, Serbia
Marko Kostadinov
University of Niš, Serbia

A subscription is required to access this article.

Abstract

In this paper we completely answer the following question: for given $A \in B (H, K)$ , $C \in B (H, K)$ does there exist operators $T \in B (H, L)$ and $S \in B (K)$ such that the operator

[A T C S]

is consistent in invertibility and Fredholmness?

Cite this article

Dragana S. Cvetković-Ilić, Marko Kostadinov, Consistency in invertibility and Fredholmness of operator matrices. J. Spectr. Theory 9 (2019), no. 2, pp. 635–649

DOI 10.4171/JST/258