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9466

كارشناسي ارشد

رياضي محض ﴿آناليز﴾

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

1393

هفت، [96]ص.

ص.ع. به فارسي و انگليسي

1396/10/02

كتابنامه

علوم رياضي

رياضي

ID9466

Abstract In this thesis we study the xed point set of the non expansive mapping T for a Banach space with uniformly Gateaux di erentiable norm when is a multiplicative left invariant mean on S Let S be the Banach space of all bounded real valued functions on S with the supremum norm For s S and f S we de ne elements ls f S by ls f t f st for each t S Let D be a subspace of S containing 1 An element in D is said to be a mean on D in 1 1 As is well known is a mean on D if and only if inf f s f sup f s s S s S for each f D We often write t f t in stead of f for D Let D be ls invariant i e ls D D for each s S A mean on D is said to be left right invariant if ls f f rs f f for each s S and f D We say that D is left right amenable if D has a left right invariant mean In particular D is called extermely left right amenable if it has a multiplicative left right invariant mean that is a left right invariant mean satisfying f g f g for all f g D Furthermore D is called extremely amenable if it has a multiplicative mean with is both left invariant and right invariant for s S we can de ne the point evaluation s by s f f s for every 1

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