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

Krichen, Bilel

Softcover

ISBN 10: 3639716337 ISBN 13: 9783639716337

Verlag: Scholars' Press, 2014

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

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

Details zur Ausgabe

• Verlag: Scholars' Press
• Erscheinungsdatum: 2014
• Sprache: Englisch
• ISBN 10: 3639716337
• ISBN 13: 9783639716337
• Einband: Taschenbuch
• Anzahl der Seiten: 96
• Kontakt zum Hersteller: Nicht verfügbar
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