Dorina Mitrea, Irina Mitrea, Marius Mitrea

Groupoid Metrization Theory

With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis

• Gebundenes Buch

Produktbeschreibung

Covering the interface of such areas of mathematics as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology and quasi-metric geometry, this accessible book offers useful techniques and extensive reference material.

Produktdetails

• Applied and Numerical Harmonic Analysis
• Verlag: Birkhäuser / Birkhäuser Boston / Springer, Basel
• 2013
• Seitenzahl: 492
• Erscheinungstermin: 14. Dezember 2012
• Englisch
• Abmessung: 241mm x 160mm x 31mm
• Gewicht: 819g
• ISBN-13: 9780817683962
• ISBN-10: 0817683968
• Artikelnr.: 36858389

Inhaltsangabe

Introduction.- Semigroupoids and Groupoids.- Quantitative Metrization Theory.- Applications to Analysis on Quasi-Metric Spaces.- Non-Locally Convex Functional Analysis.- Functional Analysis on Quasi-Pseudonormed Groups.- References.- Symbol Index.- Subject Index.- Author Index.

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Introduction.- Semigroupoids and Groupoids.- Quantitative Metrization Theory.- Applications to Analysis on Quasi-Metric Spaces.- Non-Locally Convex Functional Analysis.- Functional Analysis on Quasi-Pseudonormed Groups.- References.- Symbol Index.- Subject Index.- Author Index.

Rezensionen

From the reviews:

"The monograph is part of the Applied and Numerical Harmonic Analysis (ANHA) book series which caters to the applied science and engineering communities with emphasis on harmonic analysis. The book mainly deals with issues in analysis that permit construction of a metric which is compatible--quantitatively, topologically or algebraically--with a given setting." (Ryo Ohashi, Mathematical Reviews, July, 2013)

"This research monograph, based mainly on the original contributions of the authors, proposes a very general approach to some results in topology, harmonic analysis and functional analysis, all revolving around the idea of metrizability. It will be of interest to researchers in these areas, as well as to those interested in the abstract approach proposed by the authors." (Stefan Cobzas, zbMATH, Vol. 1269, 2013)