Spectral Properties and Fixed Point Theory for Block Operator Matrix: Fixed Point Theory, Spectral Properties for Block Operator Matrix and Applications to Transport Equation - Couverture souple

Krichen, Bilel

 
9783639716337: Spectral Properties and Fixed Point Theory for Block Operator Matrix: Fixed Point Theory, Spectral Properties for Block Operator Matrix and Applications to Transport Equation
Couverture souple
ISBN 10 : 3639716337 ISBN 13 : 9783639716337
Editeur : Scholars' Press, 2014

Synopsis

There are three questions that this work tries to answer. First, we investigate some spectral of fine properties of a 3 × 3 block operator matrix with unbounded entries and with domain consisting of vectors which satisfy certain relations between their components. An application to transport equations that describes the neutron transport in a plane-parallel domain with width 2a, or the transfer of unpolarized light in a plane-parallel atmosphere of optical thickness 2a is given. Second, we discuss under which conditions a 2 × 2 operator matrix with nonlinear entries, acting on a product of convex closed subsets of Banach spaces have a fixed point. As application, we give some existence results for a mixed stationary problem on Lp-spaces (1 < p < 1) inspired from the Rotenberg’s model. Finally, we study some algebraic and topological properties of a new set defined by Ghyp(T) := { a : T −aI is hypercyclic} for a given bounded linear operator acting on separable Banach space.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

There are three questions that this work tries to answer. First, we investigate some spectral of fine properties of a 3 × 3 block operator matrix with unbounded entries and with domain consisting of vectors which satisfy certain relations between their components. An application to transport equations that describes the neutron transport in a plane-parallel domain with width 2a, or the transfer of unpolarized light in a plane-parallel atmosphere of optical thickness 2a is given. Second, we discuss under which conditions a 2 × 2 operator matrix with nonlinear entries, acting on a product of convex closed subsets of Banach spaces have a fixed point. As application, we give some existence results for a mixed stationary problem on Lp-spaces (1 < p < 1) inspired from the Rotenberg’s model. Finally, we study some algebraic and topological properties of a new set defined by Ghyp(T) := { a : T −aI is hypercyclic} for a given bounded linear operator acting on separable Banach space.

Biographie de l'auteur

I am a doctor in applied mathematics at the preparatory engineering institute of Sfax, Tunisia.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Scholars' Press
Date d'édition
2014
Langue
anglais
ISBN 10 
3639716337
ISBN 13 
9783639716337
Reliure
Broché
Nombre de pages
96
Coordonnées du fabricant
non disponible
Personne responsable
non disponible