Displaying similar documents to “Weakly almost periodic vector-valued functions”

Integration of asymptotically almost periodic functions and weak asymptotic almost periodicity

W. M. Ruess, W. H. Summers

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SummaryWe resolve the question as to when an asymptotically almost periodic function with values in a Banach space has an asymptotically almost periodic integral. Further, we characterize the weakly relatively compact sets in spaces of vector valued continuous functions and use the resulting criteria to investigate the relationship between weak almost periodicity in the sense of Eberlein and the parallel notion utilized by Amerio in his approach to extending the classical Bohl-Bohr integration...

Vector-valued means and their applications in some vector-valued function spaces

Chuanyi Zhang

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CONTENTS1. Introduction...................................................................................................52. The Alaoglu theorem for operators...............................................................63. Vector-valued means....................................................................................74. The Riesz representation theorems for operators.......................................125. Introversion and semigroups of vector-valued means.................................166....