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The a pproximation by Smooth functions and fixed point of semigroup with polyhedral norms on separable Banach spaces

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dc.contributor.author Yousif, Ahmed Abdallatif Mohammed
dc.date.accessioned 2014-01-21T12:07:52Z
dc.date.available 2014-01-21T12:07:52Z
dc.date.issued 2008-08-01
dc.identifier.citation Yousif,Ahmed Abdallatif Mohammed.The a pproximation by Smooth functions and fixed point of semigroup with polyhedral norms on separable Banach spaces/ Ahmed Abdallatif Mohammed Yousif;Shawgy Hussein.-Khartoum:Sudan University of Science and Technology,College of Science,2008.-198p. : ill. ; 28cm.-M.Sc. en_US
dc.identifier.uri http://hdl.handle.net/123456789/3203
dc.description Thesis en_US
dc.description.abstract We characterize the separable Banach spaces . we also state sufficient conditions on aseparable Banach space so that the function can be taken to be of class . In particular we obtain the optimal order of smoothness of the approximation functions with no critical points on the classical spaces and . We show that every sub space of James tree space with non separable dual contains an isomorph of James tree complemented in James tree space . Also we show that every sub space of James function space with non separable dual contains an isomorphism of a new tree –like space . The new space yields that every sub space of James function with non-separable dual contains isomorphs of . We study fixed point properties of semigroups of non-expansive mappings on weakly compact convex sub sets of a Banach space . We provide a characterization for the existence of a left invariant mean on the space of weakly almost periodic functions on separable semitoplogical semigroups interms of fixed point property for non- expansive mappings . We present the existence of equivalent polyhedral norms on anumbers of clases of non- separable spaces . en_US
dc.description.sponsorship Sudan University of Science and Technology en_US
dc.language.iso en en_US
dc.publisher Sudan University of Science and Technology en_US
dc.subject Mathematics en_US
dc.subject Banach spaces en_US
dc.title The a pproximation by Smooth functions and fixed point of semigroup with polyhedral norms on separable Banach spaces en_US
dc.type Thesis en_US


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