activity
20212025
most citedFredholmness and Weylness of block operator matrices

2 citations · 6 across the 8 of their papers we have counts for

collaborators

8 papers

math.FA2025

Invertible completions of FLI and FRI upper triangular operator matrices

Nikola Sarajlija

If and are given operators, denote by an operator matrix of the form $$M_C=\begin{pmatrix} A & C\\ 0 & B \end{pm…

math.FA2022

Completion problem of upper triangular operator matrices on arbitrary Banach spaces

Nikola Sarajlija, Dragan S. Djordjević

We solve the completion problem of upper triangular operator matrix acting on a direct sum of Banach spaces and hence generalize the famous result of Han, Lee, Lee (Proc…

math.FA2021★ 1 cited

Invertibility properties of operator matrices on Hilbert spaces

Nikola Sarajlija

Denote by an upper triangular operator matrix of dimension whose diagonal entries are given and the others are unknown. In this article we provide necessary and suff…

math.FA2021★ 1 cited

Upper triangular operator matrices and stability of their various spectra

Nikola Sarajlija

Denote by an upper triangular operator matrix of dimension whose diagonal entries are known, where is an unknown tuple of operat…

math.FA2021

Intersections of various spectra of operator matrices

Nikola Sarajlija

This paper is concerned with general upper triangular operator matrices with given diagonal entries. We characterize perturbations of the left (right) essential spectru…

math.FA2021★ 2 cited

Fredholmness and Weylness of block operator matrices

Nikola Sarajlija

This paper has aim to characterize Fredholmness and Weylness of upper triangular operator matrices having arbitrary dimension n. We present various characterization results in the…

math.FA2021

Algebraic properties of the group inverse

Nikola Sarajlija

We investigate properties of the group inverse in rings with unit related to products and differences of idempotents, and thus we extend some results from \cite{DENG} to more gener…

math.FA2021★ 2 cited

Perturbing the spectrum of operator

Nikola Sarajlija

Let denote a partial upper triangular operator matrix whose diagonal entries are given and the others unknown. In this article we have aim to find characterizations of (…