caa a22 4500 386372047 CHVBK 20180307112001.0 cr unu---uuuuu 161130e198901 xx s 000 0 eng 10.1017/S0017089500007576 doi S0017089500007576 pii (NATIONALLICENCE)cambridge-10.1017/S0017089500007576 Vasilescu F.-H Department of Mathematics, National Institute for Scientific And Technical Creation, Bdul Păaii 220, 77538 Bucharest, Rumania Homogeneous operators and essential complexes [Elektronische Daten] [F.-H. Vasilescu] 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. Copyright © Glasgow Mathematical Journal Trust 1989 Glasgow Mathematical Journal Cambridge University Press 31/1(1989-01), 73-85 0017-0895 31:1<73 1989 31 GMJ https://doi.org/10.1017/S0017089500007576 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0017089500007576 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Vasilescu F.-H Department of Mathematics, National Institute for Scientific And Technical Creation, Bdul Păaii 220, 77538 Bucharest, Rumania NATIONALLICENCE 773 0- Glasgow Mathematical Journal Cambridge University Press 31/1(1989-01), 73-85 0017-0895 31:1<73 1989 31 GMJ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge