Stability of Fredholm complexes of Banach spaces relative to perturbations that are small in 𝑞-norm

1984 ◽  
pp. 175-180
Author(s):  
A. S. Faĭnshteĭn
Keyword(s):  
Banach Spaces ◽  
Fredholm Complexes

scholarly journals Homogeneous operators and essential complexes

1989 ◽  
Vol 31 (1) ◽  
pp. 73-85 ◽  
Author(s):  
F.-H. Vasilescu
Keyword(s):  
Banach Spaces ◽  
Small Perturbations ◽  
New Approach ◽  
Non Linear ◽  
Homogeneous Mappings ◽  
The Stability ◽  
Homogeneous Operators ◽  
Fredholm Complexes ◽  
Gap Topology

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.

Fredholm complexes in Banach spaces

1981 ◽  
Vol 14 (4) ◽  
pp. 322-323
Author(s):  
A. S. Fainshtein ◽  
V. S. Shul'man
Keyword(s):  
Banach Spaces ◽  
Fredholm Complexes

Fredholm Theory in Banach Spaces

1986 ◽  
Author(s):  
Anthony Francis Ruston
Keyword(s):  
Banach Spaces ◽  
Fredholm Theory
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