Spectral Properties and Fixed Point Theory for Block Operator Matrix

Bilel Krichen

ISBN 10: 3639716337 / ISBN 13: 9783639716337

Edité par SPS Jun 2014, 2014

A propos de cet article

Neuware -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 (1VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 96 pp. Englisch.

N° de réf. du vendeur 9783639716337

Détails bibliographiques

• Titre: Spectral Properties and Fixed Point Theory for Block Operator Matrix
• Éditeur: SPS Jun 2014
• Date de parution: 2014
• Langue: anglais
• ISBN à 10 chiffres: 3639716337
• ISBN à 13 chiffres: 9783639716337
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 220 L x 150 H x 7 P (en millimètres) 220 millimètres de largeur par 150 millimètres de hauteur par 7 millimètres de profondeur
• Poids: 161 grammes

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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.