Schauder decompositions and functional calculus
Journal article, 2008

We establish a functional calculus, with nice properties, for one and several continuous operators on some non-normable locally convex spaces, more specifically, for operators on the space H (C ν ) of entire functions and on other power series spaces. In particular we obtain spectral mapping theorems. The calculus rests on Schauder decompositions for the spaces under consideration, which are of independent interest. © 2008 Elsevier Inc. All rights reserved.

operators

theorem

Author

Henrik Petersson

Chalmers, Mathematical Sciences

University of Gothenburg

Journal of Mathematical Analysis and Applications

0022-247X (ISSN) 1096-0813 (eISSN)

Vol. 347 2 550-562

Subject Categories

Mathematics

Computational Mathematics

DOI

10.1016/j.jmaa.2008.06.041

More information

Created

10/7/2017