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 Landstra�e 99, 66123 Saarbr�cken 96 pp. Englisch.

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T�tulo

Spectral Properties and Fixed Point Theory for Block Operator Matrix

Editor

SPS Jun 2014

Fecha de publicaci�n

2014

Idioma

Ingl�s

ISBN 10

3639716337

ISBN 13

9783639716337

Encuadernaci�n

Taschenbuch

Estado

Neu

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Sinopsis

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.

Rese�a del editor

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.

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