B. Duggal

activity

20082020

most citedAsymptotic limits, Banach limits, and Cesàro means

6 citations · 10 across the 7 of their papers we have counts for

collaborators

15 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★ 6 cited

Asymptotic limits, Banach limits, and Cesàro means

C. S. Kubrusly, B. P. Duggal

Every new inner product in a Hilbert space is obtained from the original one by means of a unique positive operator $.$ The first part of the paper is a survey on applications of su…

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 $n$ -quasi left $m$ -invertible and related classes of operators

B. P. Duggal, I. H. Kim

Given Hilbert space operators $T, S\in\B$, let $△$ and $δ\in B(\B)$ denote the elementary operators $△_{T, S} (X) = (L_{T} R_{S} - I) (X) = T X S - X$ and $δ_{T,S}(X)=(L_T-R_S)(X)=TX…

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…

Expansive operators which are power bounded or algebraic

Operator roots of polynomials:iso-symmetric operators

Asymptotic limits, Banach limits, and Cesàro means

Drazin invertible (m,P)-expansive operators

Structure of n-quasi left m-invertible and related classes of operators

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

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

Structure of $n$ -quasi left $m$ -invertible and related classes of operators

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