On Norms of Derivations Implemented by Self-Adjoint Operators

Please use this identifier to cite or link to this item: https://repository.seku.ac.ke/handle/123456789/6014

Title:	On Norms of Derivations Implemented by Self-Adjoint Operators
Authors:	Shagwila, Victor Okelo, N. B. Obogi, Robert Sakwa, Cyprian O.
Keywords:	Norms of Derivations Self-adjoint Operators Generalized Derivation
Issue Date:	May-2019
Citation:	International journal of multidisciplinary sciences and engineering, vol. 10, no. 3, May 2019
Abstract:	In the present paper, we introduce and study the concept of norms of derivations, in particular norm estimates of derivations implemented by self-adjoint operators. We show that kδC k = kCX −XCk ≤ 2kCk, for inner derivation while for generalized derivation we establish that kδC,Dk = kCk+kDk, for all C, D, X ∈ B(H). We also estimate that kCk ≤ kCX−XCk ≤ 2kCk and kδC k ≥ 2(kCk 2 + β 2 ) 1 2
URI:	http://www.ijmse.org/Volume10/Issue3/paper2.pdf http://repository.seku.ac.ke/handle/123456789/6014
ISSN:	2045-7057
Appears in Collections:	School of Science and Computing (JA)

Files in This Item:

File	Description	Size	Format
Cyprian_On Norms of Derivations Implemented by Self-Adjoint Operators.pdf	Abstract	200.83 kB	Adobe PDF	View/Open

DSpace JSPUI