On the numerical range and operator norm of V^2

Khadkhuu, L.; Tsedenbayar, D.

doi:10.7153/oam-2020-14-18

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2024

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Various results of operator norm, the numerical range for Volterra pencils have been presented in e.g. [4], [5], [6], [7] and [8].…”

Section: Introductionmentioning

confidence: 99%

note on self-commutators of Volterra operator and its square

Khadkhuu

Tsedenbayar

2022

J. appl. sci. eng., A

View full text Add to dashboard Cite

Let V be the classical Volterra operator on L2(0, 1). The quadratic forms and their applications are used in many branches of mathematics. In this area of mathematics have studied many properties for concrete operator such as the numerical range. In recent year, the concept of Volterra operator has attached the serious attention of many researchers. In this paper, we compute the operator norm of self-commutators of V and its square. We also study the length of arc and the area of numerical range of V.

show abstract

“…Various results of operator norm, the numerical range for Volterra pencils have been presented in e.g. [4], [5], [6], [7] and [8].…”

Section: Introductionmentioning

confidence: 99%