New generalized results of (A,)-expansive operators on Hilbert spaces with practical comparison

In this research, we obtain some result related to a category of linear bounded operators, which is known as $(A, m)$-expansive operators acting on infinite dimentional Hilbert space. Moreover, we provide sufficient conditions which $(A, m)$-expansive operators are not supercyclic. We also supply some spectral properties of $(A, m)$-expansive operators. Some examples are discussed, too.

Authors

Institutions

Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-02-01
DOI
https://doi.org/10.5269/bspm.66011
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

New generalized results of (A,)-expansive operators on Hilbert spaces with practical comparison

Mohammad Esmael Samei, Lotfollah Karimi, Mohammed K. A. Kaabar
Boletim da Sociedade Paranaense de Matemática
Holomorphic and Operator Theory
article

New generalized results of (A,)-expansive operators on Hilbert spaces with practical comparison

Mohammad Esmael Samei, Lotfollah Karimi, Mohammed K. A. Kaabar
article en

Abstract

In this research, we obtain some result related to a category of linear bounded operators, which is known as $(A, m)$-expansive operators acting on infinite dimentional Hilbert space. Moreover, we provide sufficient conditions which $(A, m)$-expansive operators are not supercyclic. We also supply some spectral properties of $(A, m)$-expansive operators. Some examples are discussed, too.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Bu-Ali Sina University (IR), University of Malaya (MY), Hamedan University of Technology (IR)
Openalex Percentile: Top 96%
Holomorphic and Operator Theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.