Übersicht			Auf mobile öffnen

Lieferstatus:	i.d.R. innert 14-24 Tagen versandfertig
Veröffentlichung:	August 1995
Genre:	Naturwissensch., Medizin, Technik
	Differentialrechnung und -gleichungen / GARDENING / General / Gardening / Horticulture / Integralrechnung und -gleichungen / MATHEMATICS / Differential Equations / General / MATHEMATICS / Functional Analysis / MATHEMATICS / Mathematical Analysis / MATHEMATICS / Transformations
ISBN:	9780792336303
EAN-Code:	9780792336303
Verlag:	Springer
Einband:	Gebunden
Sprache:	English
Serie:	#34 - Theory and Decision Library
Dimensionen:	H 234 mm / B 156 mm / D 14 mm
Gewicht:	490 gr
Seiten:	213
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

The aim of this work is to initiate a systematic study of those properties of Banach space complexes that are stable under certain perturbations. A Banach space complex is essentially an object of the form 1 op-l oP +1 ... --+ XP- --+ XP --+ XP --+ ... , where p runs a finite or infiniteinterval ofintegers, XP are Banach spaces, and oP : Xp ..... Xp+1 are continuous linear operators such that OPOp-1 = 0 for all indices p. In particular, every continuous linear operator S : X ..... Y, where X, Yare Banach spaces, may be regarded as a complex: O ..... X ~ Y ..... O. The already existing Fredholm theory for linear operators suggested the possibility to extend its concepts and methods to the study of Banach space complexes. The basic stability properties valid for (semi-) Fredholm operators have their counterparts in the more general context of Banach space complexes. We have in mind especially the stability of the index (i.e., the extended Euler characteristic) under small or compact perturbations, but other related stability results can also be successfully extended. Banach (or Hilbert) space complexes have penetrated the functional analysis from at least two apparently disjoint directions. A first direction is related to the multivariable spectral theory in the sense of J. L.