INDEXED IN 

ISSN 2456-0235

International Journal of Modern Science and Technology

​​​​​​Vol. 2, No. 10, 2017, pp. 337-340. 

​

​On Characterization of Normal Derivations   

B. O. Owino, N. B.  Okelo, O. Ongati
School of Mathematics and Actuarial Science, Jaramogi Oginga Odinga University of  Science and Technology,
P.O. Box 210-40601,Bondo-Kenya.
​​​*Corresponding author’s e-mail: bnyaare@yahoo.com

​Abstract
In the present paper we established orthogonality of normal derivations in Cp-Classes. We employ some results for normal derivations due to Mecheri, Hacene, Bounkhel and Anderson. Let  be a compact operator and  be the subspace where  attains its norm, let  be the set of vectors from -class which forms an angle less or equal to  with . We show that two operators are orthogonal if their inner product is zero.

Keywords: Banach space; Hilbert space; Gateaux derivative; Orthogonality; Schatten-p Class. 

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