I. H. Kim

most citedLeft m-invertibility by the adjoint of Drazin inverse and m-selfadjointness of Hilbert space operators

2 citations · 3 across the 4 of their papers we have counts for

collaborators

7 papers

math.FA2020

Expansive operators which are power bounded or algebraic

B. P. Duggal, I. H. Kim

Given Hilbert space operators $P, T \in B () ˝, P \geq 0$ invertible, $T$ is $(m, P) -$ expansive (resp., $(m, P) -$ isometric) for some positive integer $m$ if $\triangle_{T^*,T}^m(P)=\su…

math.FA2020

Operator roots of polynomials:iso-symmetric operators

B. P. Duggal, I. H. Kim

Given Hilbert space operators $A_{i}, B_{i}$ , $i = 1, 2$ , and $X$ such that $A_{1}$ commutes with $A_{2}$ and $B_{!}$ commutes with $B_{2}$ , and integers $m, n \geq 1$ , we say that the pairs of op…

math.FA2020

Drazin invertible $(m, P)$ -expansive operators

B. P. Duggal, I. H. Kim

A Hilbert space operator $T \in B$ is $(m, P)$ -expansive, for some positive integer $m$ and operator $P \in B$ , if $\sum_{j=0}^m{(-1)^j\left(\begin{array}{clcr}m\\j\end{array}\right)T…

math.FA2020

Structure of elementary operators defining $m$ -left invertible, $m$ -selfadjoint and related classes of operators

B. P. Duggal, I. H. Kim

We use elementary algebraic properties of left, right multiplication operators to prove some deep structural properties of left $m$ -invertible, $m$ -isometric, $m$ -selfadjoint and o…

math.FA2020★ 2 cited

Left m-invertibility by the adjoint of Drazin inverse and m-selfadjointness of Hilbert space operators

B. P. Duggal, I. H. Kim

A Hilbert space operator $A\in\B$ is left $(X, m)$ -invertible by $B\in\B$ (resp., $B\in\B$ is an $(X, m)$ -adjoint of $A\in\B$) for some operator $X\in\B$ if $\triangle_{B,A}^m(X)=\su…

math.FA2019★ 1 cited

On power Drazin normal and Drazin quasi-normal Hilbert space operators

B. P. Duggal, I. H. Kim

A Drazin invertible Hilbert space operator $T\in \B$, with Drazin inverse $T_{d}$ , is $(n, m)$ -power D-normal, $T \in [(n, m) D N]$ , if $[T_{d}^{n}, T^{* m}] = T_{d}^{n} T^{* m} - T^{* m} T_{d}^{n} = 0$ ; $T$ is…

Expansive operators which are power bounded or algebraic

Operator roots of polynomials:iso-symmetric operators

Drazin invertible (m,P)-expansive operators

Structure of elementary operators defining m-left invertible, m-selfadjoint and related classes of operators

Left m-invertibility by the adjoint of Drazin inverse and m-selfadjointness of Hilbert space operators

On power Drazin normal and Drazin quasi-normal Hilbert space operators

Drazin invertible $(m, P)$ -expansive operators

Structure of elementary operators defining $m$ -left invertible, $m$ -selfadjoint and related classes of operators