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Homogeneous operators and essential complexes

Published online by Cambridge University Press:  18 May 2009

F.-H. Vasilescu
F.-H. Vasilescu
Affiliation:
Department of Mathematics, National Institute for Scientific And Technical Creation, Bdul Păaii 220, 77538 Bucharest, Rumania
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The aim of this work is to present a new approach to the concept of essential Fredholm complex of Banach spaces ([10], [2]; see also [11], [4], [6], [7] etc. for further connections), by using non-linear homogeneous mappings. We obtain some generalized homotopic properties of the class of essential Fredholm complexes, in our sense, which are then applied to establish its relationship with similar concepts. We also prove the stability of this class under small perturbations with respect to the gap topology.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 31 , Issue 1 , January 1989 , pp. 73 - 85
Copyright
Copyright © Glasgow Mathematical Journal Trust 1989

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