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Matrix characterizations of Lipschitz operators on Banach spaces over Krull valued fields
(BELGIAN MATHEMATICAL SOC TRIOMPHE, 2007)
Let K be a complete infinite rank valued field and E a K-Banach space with a countable orthogonal base. In [9] and [10] we have studied bounded (called Lipschitz) operators on E and introduced the notion of a strictly ...
A new method for comparing two Norm Hilbert spaces and their operators
(ELSEVIER SCIENCE BV, 2011)
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 ...
Some results of lineal continue operatorsAlgunos resultados de operadores lineales continuos
(Pereira : Universidad Tecnológica de PereiraFacultad de Ciencias Básicas, 2011)
Norm Hilbert spaces over Krull valued fields
(ELSEVIER SCIENCE BV, 2006)
Norm Hilbert spaces (NHS) are defined as Banach spaces over valued fields (see 1.4) for which each closed subspace has a norm-orthogonal complement. For fields with a rank I valuation, these spaces were characterized already ...