Triple Operators of Order n on a Hilbert Space
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Abstract
In this paper, we introduce a new class of operators on a complex Hilbert space which is called triple operators of order n. An operator is called triple operator of order n if where is the adjoint of the operator .
We investigate some basic properties of such operators and study the relation between the triple operators of order n and some kinds of operators.
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References
[1] Berberian S.K, (1976) "Introduction to Hilbert space", Chelsea Publishing Company, New Yourk .
[2] Kavruk, Ali, S., (2006) "Complete Positivity in Operator Algebras ". Bilkent University .
[3] Kreyszig Erwin, (1978) "Introductory Functional Analysis With Applications". New York Santa Barbara London Sydney Toronto.
[4] Milman Vitali, (1999) "An Introduction to Functional Analysis " .
[5] Paul R. Halmos, (1980) "A Hilbert space problem book ". Springer- Verlag, New York Heidelberg Berlin.
[6] Rynne p. Bryan and Martin A. Youngson ,( 2008) "Linear Functional Analysis" Springer–Velage London.
[7] Sid Ahmed O.A. Mahmoud and Saddi Adel, (2012) " A-m Isometric operators in semi –Hilbertian spaces ". Linear Algebra and its Applications ,(436 ), pp:3930-3942.