Fredholm Theory in Topological Vector Spaces

11.06.2026

Englisch

9783032247377

Springer International Publishing

Springer Monographs in Mathematics

Nein

Dorina Mitrea, Irina Mitrea, Marius Mitrea, Joel H. Shapiro

Gebundene Ausgabe

Dorina Mitrea, Irina Mitrea, Marius Mitrea, and Joel Shapiro are internationally recognized mathematicians with expertise spanning across the fields of Harmonic Analysis, Functional Analysis, and Partial Differential Equations. Dorina Mitrea, Irina Mitrea, and Marius Mitrea are Fellows of the American Mathematical Society and have collaborated extensively over the years. Their joint contributions include over a dozen of original research monographs, notably the comprehensive five-volume series Geometric Harmonic Analysis (Springer), The Hodge-Laplacian, now in its second edition (De Gruyter), Singular Integral Operators, Quantitative Flatness, and Boundary Problems (Birkhauser), Groupoid Metrization Theory (Birkhauser). Their work has significantly impacted harmonic analysis of geometric flavor. Joel Shapiro is a distinguished scholar renowned for his pioneering research in the topological and geometric aspects of functional analysis, particularly composition operators.

functional analysis on non-locally convex vector spaces, Riesz theory in topological vector spaces, Fredholm theory in topological vector spaces, Fredholm operator, Fredholm index, stability of the index under perturbations, Calkin algebra, Weyl spectrum, compact operator, Jordan decomposition of compact operators, linear topological space

PBKF - Funktionalanalysis und Abwandlungen PBG - Gruppen und Gruppentheorie

235 mm

15.5 cm