A new method for comparing two Norm Hilbert spaces and their operators

作者：Ochsenius H^*; Schikhof W H

来源：Indagationes Mathematicae, 2011, 21(1-2): 112-126.

DOI：10.1016/j.indag.2011.02.002

• Fredholm operators
• Norm Hilbert spaces
• Krull valued fields

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.

• 出版日期2011-7