Homogeneous operators and essential complexes
Glasgow mathematical journal, Tome 31 (1989) no. 1, pp. 73-85

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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.
Vasilescu, F.-H. Homogeneous operators and essential complexes. Glasgow mathematical journal, Tome 31 (1989) no. 1, pp. 73-85. doi: 10.1017/S0017089500007576
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