Year: 2024
Type: article
Abstract: In this paper we characterize the generalisation of contraction in Hilbert space and 𝐶(𝛼)- Suboperator class and establish some new result in the class of 𝐶(𝛼)- Suboperator [1] and its contractive extensions of a 𝐶(𝛼)- Suboperator class in a complex Hilbert space. The characterizations include a quadratic form inequality. The bounded linear operator 𝑇 in complex Hilbert space which satisfy 𝑇 = 𝛽𝐼 +(1 −𝛽)𝑈 where 𝛽 ∈ (0,1) and 𝑈 is a contraction (‖𝑈‖ ≤ 1)
Source: IOSR Journal of Mathematics
Author: Awadh Bihari Yadav
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4405127613