Article ID Journal Published Year Pages File Type
4673164 Indagationes Mathematicae 2011 15 Pages PDF
Abstract

The paper deals with operators on Norm Hilbert spaces over a Krull valued field KK. 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 EE, the first infinite-dimensional orthomodular space in history constructed by Keller (1980) [1], this leads to simple and elegant characterizations.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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