Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules

In this paper, we introduce the idea of $\ast$-homomorphism on a Hilbert $C^{*}$-module. Furthermore, we prove the Hyers-Ulam stability of homomorphisms and $\ast$-homomorphisms on Hilbert $C^{*}$-modules using the fixed point method.

Publication Details

Journal
ArXiv.org
Published
2025-03-23
Primary Topic
Functional Equations Stability Results
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules

ArXiv.org
Functional Equations Stability Results
article

Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules

article en

Abstract

In this paper, we introduce the idea of $\ast$-homomorphism on a Hilbert $C^{*}$-module. Furthermore, we prove the Hyers-Ulam stability of homomorphisms and $\ast$-homomorphisms on Hilbert $C^{*}$-modules using the fixed point method.

ArXiv.org
Openalex Percentile: Top 38%
Functional Equations Stability Results
Open Access PDFOpenAlex
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.

Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules · ArXiv.org (2025) | TGRS Research Map | TGRS