The index formula and the spectral shift function for relatively trace class perturbations

F Gesztesy, Y Latushkin, KA Makarov… - Advances in …, 2011 - Elsevier
We compute the Fredholm index, index (DA), of the operator DA=(d/dt)+ A on L2 (R; H)
associated with the operator path {A (t)} t=−∞∞, where (Af)(t)= A (t) f (t) for ae t∈ R, and …

On the closedness, the self-adjointness and the normality of the product of two unbounded operators

MH Mortad - Demonstratio Mathematica, 2012 - degruyter.com
Mohammed Hichem Mortad ON THE CLOSEDNESS, THE SELF-ADJOINTNESS AND THE
NORMALITY OF THE PRODUCT OF TWO UNBOUNDED OPERATORS 1. In Page 1 …

[PDF][PDF] Stability of almost closed operators on a Hilbert space

S Messirdi, M Djaa, B Messirdi - Sarajevo J. of Math, 2009 - e-biblio.univ-mosta.dz
STABILITY OF ALMOST CLOSED OPERATORS ON A HILBERT SPACE 1. Introduction Let us
denote by B(H) the algebra of bounded linear oper Page 1 SARAJEVO JOURNAL OF …

[PDF][PDF] Some stronger topologies for closed operators in Hilbert space

G Djellouli, S Messirdi… - Int. J. Contemp. Math …, 2010 - e-biblio.univ-mosta.dz
The purpose of this paper is to introduce some new metrics on the set C (H) of closed
densely defined operators on a Hilbert space H and we characterize the closure of the …

[PDF][PDF] New results on the closedness of the product and sum of closed linear operators

A AZZOUZ, B MESSIRDI, G DJELLOULI - Bull. Math. Anal. Appl, 2011 - emis.icm.edu.pl
In this paper we give some topological conditions which ensure the closedness of the sum
and product of two closed linear operators acting in a Hilbert space. We get also a general …

The Sum of Two Unbounded Linear Operators: Closedness, Self-adjointness and Normality

MH Mortad - arXiv preprint arXiv:1203.2545, 2012 - arxiv.org
In the present paper we give results on the closedness and the self-adjointness of the sum of
two unbounded operators. We present a new approach to these fundamental questions in …

[PDF][PDF] Drazin invertibility of sum and product of closed linear operators

B MESSIRDI, S MESSIRDI… - Malaya Journal of …, 2014 - malayajournal.org
The paper present a survey of results concerning the fundamental properties of the Drazin
inverse for bounded operators and an interesting study of the Drazin inverse for a closed …

[PDF][PDF] LE DIPLOME DE DOCTORAT EN MATHEMATIQUES

A AZZOUZ - 2011 - researchgate.net
Il y'a quatres ans de cela, je me suis rendu à l'université d'oran pour prendre contact avec
mon directeur de thèse, on s' est fixé l'objectif de résoudre les conditions pour lesquelles les …

[引用][C] Mohand Ould Ali

BMD de thèse Professeur - 2011 - Université de Sfax