Titlebook: Vector Measures, Integration and Related Topics; Guillermo P. Curbera,Gerd Mockenhaupt,Werner J. Ri Conference proceedings 2010 Birkh?user

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Spectral Measures on Compacts of Characters of a Semigroup,In this note we give integral representations for some *-representations of the type .:. → . where . is a commutative semigroup with involution and neutral element and . are the bounded operators of the Hilbert space ..

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The Bohr Radius of a Banach Space,Let 1≤., .<∞ and let . be a complex Banach space. For each . with . we define . and denote the Bohr radius of . by . The aim of this note is to study for which spaces ..(μ) or . = .. one has ..(.)>0.

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Defining Limits by Means of Integrals,A particular notion of limit is introduced, for Riesz space-valued functions. The definition depends on certain ideals of subsets of the domain. It is shown that, according with our definition, every bounded function with values in a Dedekind complete Riesz space admits limit with respect to any maximal ideal.

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A Note on Bi-orthomorphisms,We show that the space of bi-orthomorphisms forms a vector lattice. The space of orthomorphisms on a semiprime .-algebra is a vector sublattice of the space of bi-orthomorphisms and an ideal in the case that the .-algebra is Dedekind complete.

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