Geodesic
(k,m, n)-partially isometric operators: A new generalization of partial isometries
Filomat, Tome 37 (2023) no. 28, p. 9595

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

Asignificant amount of elegant work has been accomplished in the study of partial isometries. In this article, weintroduce a new class of operators, referred to as the (k,m, n)-partial isometries, which extends the concept of partial isometry. We delve into the most intriguing outcomes related to this class by extending previously established results for partial isometries and by exploring new results on partial isometries. We investigate the relationship of this new class of operators with classical notions of operators, such as partial isometries, power partial isometries, paranormal, semi-regular, and quasi-Fredholm. Additionally, we examine some fundamental properties and structure theorems of (k,m, n)-partial isometries. Furthermore, we provide spectral properties of (k,m, n)-partial isometries.
DOI : 10.2298/FIL2328595A
Classification : 47A05, 47A65, 47B40
Keywords: Hilbert space, Partial isometry, Powers of a linear operator, Reducing subspaces, Structure theorems, Spectrum 
Mohamed Amine Aouichaoui; Haïkel Skhiri. (k,m, n)-partially isometric operators: A new generalization of partial isometries. Filomat, Tome 37 (2023) no. 28, p. 9595 . doi: 10.2298/FIL2328595A
@article{10_2298_FIL2328595A,
     author = {Mohamed Amine Aouichaoui and Ha{\"\i}kel Skhiri},
     title = {(k,m, n)-partially isometric operators: {A} new generalization of partial isometries},
     journal = {Filomat},
     pages = {9595 },
     year = {2023},
     volume = {37},
     number = {28},
     doi = {10.2298/FIL2328595A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328595A/}
}
TY  - JOUR
AU  - Mohamed Amine Aouichaoui
AU  - Haïkel Skhiri
TI  - (k,m, n)-partially isometric operators: A new generalization of partial isometries
JO  - Filomat
PY  - 2023
SP  - 9595 
VL  - 37
IS  - 28
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2328595A/
DO  - 10.2298/FIL2328595A
LA  - en
ID  - 10_2298_FIL2328595A
ER  - 
%0 Journal Article
%A Mohamed Amine Aouichaoui
%A Haïkel Skhiri
%T (k,m, n)-partially isometric operators: A new generalization of partial isometries
%J Filomat
%D 2023
%P 9595 
%V 37
%N 28
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2328595A/
%R 10.2298/FIL2328595A
%G en
%F 10_2298_FIL2328595A

Cité par Sources :