Infinite Matrices and the Gliding Hump is popular PDF and ePub book, written by Charles Swartz in 1996, 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, Infinite Matrices and the Gliding Hump can be Read Online from any device for your convenience.
Infinite Matrices and the Gliding Hump Book PDF Summary
These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinski, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which, in contrast to the usual versions, require no completeness or barrelledness assumptions on the domain space. Versions of Nikodym Boundedness and Convergence Theorems of measure theory, the Orlicz-Pettis Theorem on subseries convergence, generalizations of the Schur Lemma on the equivalence of weak and norm convergence in l1 and the Mazur-Orlicz Theorem on the continuity of separately continuous bilinear mappings are also given. Finally, the matrix theorems are also employed to treat a number of topics in sequence spaces.
Detail Book of Infinite Matrices and the Gliding Hump PDF
- Author : Charles Swartz
- Release : 21 September 1996
- Publisher : World Scientific
- ISBN : 9789810227364
- Genre : Mathematics
- Total Page : 222 pages
- Language : English
- PDF File Size : 19,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Infinite Matrices and the Gliding Hump by Charles Swartz, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.