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Showing 1 to 4 of 4 for “"Banach space theory"”.
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Hermite-Hadamard inequality in the geometry of banach spaces
The theory of inequalities has made significant contributions in many areas of mathematics. The purpose of this dissertation is to employ inequalities in studying the geometry of a Banach space. Motivated by the Hermite-Hadamard inequality, a new family of norms is defined, which is called the …
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Domains of convergence in infinite dimensional holomorphy
… functions on a Reinhardt domain R in a Banach sequence space X, mainly for H_{\infty}(R), P^m(X) and P(X), we give precise descriptions of the domain of convergence dom F(R), i.e. the set of all points of R where the monomial expansion \sum_{\alpha\in \N_0^{(\N)}} \frac{\partial^{\alpha} …
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Frames In Hilbert C*-modules
… image processing, data compression and sampling theory etc. Today, powerful tools from operator theory and Banach space theory are being introduced to the study of frames producing deep results in frame theory. In recent years, many mathematicians generalized the frame theory from Hilbert spaces …
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Banach Spaces on Infinitely Branching Trees
<p>An example of a Banach space, X<sub>∞</sub>, with a nonseparable dual such that <em>l</em><sub>1</sub> does not imbed in X<sub>∞</sub> is investigated. Not every weakly null sequence has a subsequence equivalent to the usual basis of c<sub>0</sub>, but c<sub>0</sub> imbeds in many subspaces of …