Convergence Structures and Applications to Functional Analysis is popular PDF and ePub book, written by R. Beattie in 2013-03-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Convergence Structures and Applications to Functional Analysis can be Read Online from any device for your convenience.
Convergence Structures and Applications to Functional Analysis Book PDF Summary
This text offers a rigorous introduction into the theory and methods of convergence spaces and gives concrete applications to the problems of functional analysis. While there are a few books dealing with convergence spaces and a great many on functional analysis, there are none with this particular focus. The book demonstrates the applicability of convergence structures to functional analysis. Highlighted here is the role of continuous convergence, a convergence structure particularly appropriate to function spaces. It is shown to provide an excellent dual structure for both topological groups and topological vector spaces. Readers will find the text rich in examples. Of interest, as well, are the many filter and ultrafilter proofs which often provide a fresh perspective on a well-known result. Audience: This text will be of interest to researchers in functional analysis, analysis and topology as well as anyone already working with convergence spaces. It is appropriate for senior undergraduate or graduate level students with some background in analysis and topology.
Detail Book of Convergence Structures and Applications to Functional Analysis PDF
- Author : R. Beattie
- Release : 14 March 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401599429
- Genre : Mathematics
- Total Page : 272 pages
- Language : English
- PDF File Size : 13,5 Mb
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