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Infinite Matrices and the Gliding Hump [Hardcover]

By Charles Swartz (Author)
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Item description for Infinite Matrices and the Gliding Hump by Charles Swartz...

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.

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Item Specifications...

Studio: World Scientific Publishing Company
Pages   209
Est. Packaging Dimensions:   Length: 8.6" Width: 5.9" Height: 0.8"
Weight:   0.95 lbs.
Binding  Hardcover
Release Date   Jan 15, 1996
Publisher   World Scientific Publishing Company
ISBN  9810227361  
ISBN13  9789810227364  

Availability  0 units.

More About Charles Swartz

Register your artisan biography and upload your photo! Charles Swartz was born in 1938 and has an academic affiliation as follows - NMSU-College, Las Cruces, New Mexico, USA.

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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Calculus
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > General
5Books > Subjects > Science > Mathematics > Mathematical Analysis
6Books > Subjects > Science > Mathematics > Pure Mathematics > Calculus
7Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis

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