Title : ( Kinds of Derivations on Hilbert c -Modules and Their Operator )
Authors: Hossein Saidi , Ali Reza Janfada , Madjid Mirzavaziri ,
Full TextAbstract
Let M be a Hilbert C-module. A linear mapping d W M ! M is called a derivation if d.< x;y > ´/ D< dx;y > ´C < x;dy > ´C < x;y > d´ for all x;y;´ 2M. We give some results for derivations and automatic continuity of them on M. Also, we will characterize generalized derivations and strong higher derivations on the algebra of compact operators and adjointable operators of Hilbert C-modules, respectively.
Keywords
, derivation, higher derivations, Hilbert C-module
@article{paperid:1049764,
author = {Hossein Saidi and Ali Reza Janfada and Madjid Mirzavaziri, },
title = {Kinds of Derivations on Hilbert c -Modules and Their Operator},
journal = {Miskolc Mathematical Notes},
year = {2015},
volume = {16},
number = {1},
month = {July},
issn = {1787-2405},
pages = {453--461},
numpages = {8},
keywords = {derivation; higher derivations; Hilbert C-module},
}
%0 Journal Article
%T Kinds of Derivations on Hilbert c -Modules and Their Operator
%A Hossein Saidi
%A Ali Reza Janfada
%A Madjid Mirzavaziri,
%J Miskolc Mathematical Notes
%@ 1787-2405
%D 2015
