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When do two Banach spaces have isometrically isomorphic nonstandard hulls?
Israel Journal of Mathematics, 1975The answer to the title question is given in terms of the elementary properties of Banach spaces regarded as structures for a certain first-order language. The same question for Banach space ultrapowers is also considered. The connection between nonstandard hulls and Banach space ultrapowers derives in part from the following fact, of independent ...
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Representation of Nonstandard Hulls in IST for Certain Uniform Spaces
Mathematical Logic Quarterly, 1991Suppose that \((X,D)\) is an admissible Hausdorff uniform space, where \(X\) is an infinite set and \(D\) is a standard family of pseudo-metrics on \(X\) that yields the Hausdorff uniform structure. The author defines three standard subsets \(X_ 0,X_ 1,\hat X\) of the set of all real valued functions defined in \(X\times D\), where \(X_ 0\subset X_ 1 ...
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Spectral theory of group representations and their nonstandard hull
Israel Journal of Mathematics, 1984Let G denote a locally compact abelian group and let U be a bounded strongly continuous representation of G on the Banach space E. We introduce the notion of the Riesz part \(R\sigma\) (U) of the Arveson spectrum \(\sigma\) (U) of U. The representation U is called R-compact if every bounded subset \(C\subset E\) satisfying \(\lim_{t\to e}\sup \{\| U_ ...
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On fixed-point sets of nonexpansive mappings in nonstandard hulls and Banach space ultrapowers
Nonlinear Analysis: Theory, Methods & Applications, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Photopolymerizable Biomaterials and Light-Based 3D Printing Strategies for Biomedical Applications
Chemical Reviews, 2020Jacob B Schimelman +2 more
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Bio-active compounds and functional properties of pistachio hull: A review
Trends in Food Science and Technology, 2020Hamid-Reza Akhavan +2 more
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