Author | Wengenroth, Jochen. author |
---|---|
Title | Derived Functors in Functional Analysis [electronic resource] / by Jochen Wengenroth |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2003 |
Connect to | http://dx.doi.org/10.1007/b80165 |
Descript | X, 138 p. online resource |
Introduction -- Notions from homological algebra: Derived Functors; The category of locally convex spaces -- The projective limit functor for countable spectra: Projective limits of linear spaces; The Mittag-Leffler procedure; Projective limits of locally convex spaces; Some Applications: The Mittag-Leffler theorem; Separating singularities; Surjectivity of the Cauchy-Riemann operator; Surjectivity of P(D) on spaces of smooth functions; Surjectivity of P(D) the space of distributions; Differential operators for ultradifferentiable functions of Roumieu type -- Uncountable projective spectra: Projective spectra of linear spaces; Insertion: The completion functor; Projective spectra of locally convex spaces -- The derived functors of Hom: Extk in the category of locally convex spaces; Splitting theory for Frรฉchet spaces; Splitting in the category of (PLS)-spaces -- Inductive spectra of locally convex spaces -- The duality functor -- References -- Index