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Compact Operators and Hilbert – Schmidt Operators
Current Issue
Volume 3, 2015
Issue 4 (August)
Pages: 92-95   |   Vol. 3, No. 4, August 2015   |   Follow on         
Paper in PDF Downloads: 36   Since Aug. 28, 2015 Views: 1680   Since Aug. 28, 2015
Nedal Hassan El Badowi Eljaneid, Department of Mathematics, Tabuk University, Tyimaa, Saudi Arabia.
This paper dealt with the most important concepts of compact linear operators on Banach and Hilbert spaces: * compact operators are necessarily bounded, any Hilbert –Schmidt operator is bounded and every Hilbert space has a complete orthonormal system. Uses of this paper: The hypothesis of this paper is to clarify all basic knowledge on the important a linear operator, Inverses of operators, A djoint operators, Hermitian operators, The spectrum. This paper can be used to either review or study of compact operators
Vector Spaces, Normed Spaces, Eigenvalue, Hilbert Space
Nicholas Young , Press( 1988) :An introduction to Hilbert space, Cambridge University ,"The main Reference"( 21-23)
Dr.H.T.Banks(Fall 2010), Applied Functional Analysis: Lecture Notes, Center for Research in Scientific Computation ,N.C. State University, .
A.H.SIDDIQI,( August 18,2010 ) : Functional Analysiswith Applications, Aligarh Muslim University ,(111-112) .
A.D.Andrew and W.L.Green,(January 2002): Spectral Theory of Operator on Hilbert space , Geogia Institute of Technology, ,
Herman J.Bierense,(June 24,2007) :Introduction to Hilbert Space ,Pennsylvania State University ,
H.L.Royden ,P.M.Fitzpatrick,( 2011): Real Analysis ,New Deldi .
Weidmann,J,(1980) :Linear operators in Hilbert space ,Spring Verlage,New York ,
Yosida,K,(1964) :Functional analysis ,4th edn,Spring Verlage,New York .
Collatz,L (1966) :Functional analysis and numerical analysis ,Academic Press, New York .
Steven D.Fisher , Complex Variable ,Corrected reprint of the second (1990) edition ,DoverPulications Inc ,Mineola,NY,1999.
K.Ross, Elementary Real Analysis :the theory of caculus,Springer ,New York 2000.
Elias M.Stein and Rami Shakarchi ,Complex Analysis ,Princeton Lectures in Analysis II,Princeton University Press ,Princeton,2003.
John P.D'Angelo ,Several Complex Variables and Geometry of Real Hyper surfaces ,CRC Press ,Boca Raton ,1992.
John P.D'Angelo ,Inequalities from Complex Analysis ,Carus Mathematical Monographs 28,Mathematical Association of America ,Washington DC,2002.
Lars V.Ahlfors ,Complex Analysis : an introduction to the theory of analytic functions of one complex variable ,third edition,McGraw-Hill Book Co ,New York ,1987.
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