Groupoid Metrization Theory With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis /

• Main Authors: Mitrea, Dorina (Author), Mitrea, Irina (Author), Mitrea, Marius (Author), Monniaux, Sylvie (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Mathematics.; Algebraic geometry.; Mathematical analysis.; Analysis (Mathematics).; Harmonic analysis.; Functional analysis.; Measure theory.; Topology.; Abstract Harmonic Analysis.; Functional Analysis.; Analysis.; Measure and Integration.; Algebraic Geometry.

The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large numbe...

Table of Contents:

• 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.