A new method for comparing two Norm Hilbert spaces and their operators
Loading...
Date
2011
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
ELSEVIER SCIENCE BV
Abstract
The paper deals with operators on Norm Hilbert spaces over a Krull valued field K. By using carefully selected equivalent norms (i) the perturbation theory of Fredholm operators (see Ochsenius and Schikhof (2010) [7]) is completed, and (ii) new matrix characterizations of operators are derived (compare Ochsenius and Schikhof (2007) [6]). For a prominent E, the first infinite-dimensional orthomodular space in history constructed by Keller (1980) [1], this leads to simple and elegant characterizations. (C) 2011 Royal Netherlands Academy of Arts and Sciences. Published by Elsevier B.V. All rights reserved.
Description
Keywords
Fredholm operators, Norm Hilbert spaces, Krull valued fields, KRULL VALUED FIELDS, BANACH-SPACES