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You searched for nadir
Total of 27 results found in site

19: Paper Source PDF document

Paper's Title:

Closedness and Skew Self-Adjointness of Nadir's Operator

Author(s):

Mostefa Nadir and Abdellatif Smati

Department of Mathematics,
University of Msila 28000,
ALGERIA.
E-mail: mostefanadir@yahoo.fr
E-mail: smatilotfi@gmail.com

Abstract:

In this paper, we present some sufficient conditions which ensure the compactness, the normality, the positivity, the closedness and the skew self-adjointness of the unbounded Nadir's operator on a Hilbert space. We get also when the measurement of its adjointness is null and other related results are also established.



5: Paper Source PDF document

Paper's Title:

Euler Series Solutions for Linear Integral Equations

Author(s):

Mostefa Nadir and Mustapha Dilmi

Department of Mathematics,
University of Msila 28000,
ALGERIA.
E-mail: mostefanadir@yahoo.fr
E-mail: dilmiistapha@yahoo.fr

Abstract:

In this work, we seek the approximate solution of linear integral equations by truncation Euler series approximation. After substituting the Euler expansions for the given functions of the equation and the unknown one, the equation reduces to a linear system, the solution of this latter gives the Euler coefficients and thereafter the solution of the equation. The convergence and the error analysis of this method are discussed. Finally, we compare our numerical results by others.



3: Paper Source PDF document

Paper's Title:

On operators for which T2≥-T*2

Author(s):

Messaoud Guesba1 and Mostefa Nadir2

1Department of Mathematics,
University of El Oued 39000,
Algeria
E-mail: guesbamessaoud2@gmail.com

 
2Department of Mathematics,
University of Msila 28000,
Algeria
E-mail: mostefanadir@yahoo.fr

Abstract:

In this paper we introduce the new class of operators for which T2 -T*2 acting on a complex Hilbert space H. We give some basic properties of these operators. we study the relation between the class and some other well known classes of operators acting on H.


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