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Field name	Details
Dewey Class	515.724
Title	Banach Space Complexes ([EBook] /) / edited by Cǎlin-Grigore Ambrozie, Florian-Horia Vasilescu.
Added Personal Name	Ambrozie, Cǎlin-Grigore editor.
Added Personal Name	Vasilescu, Florian-Horia editor.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1995.
Physical Details	V, 213 p. : online resource.
Series	Mathematics and its applications ; 334
ISBN	9789401103756
Summary Note	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.:
Contents note	I Preliminaries -- II Semi-Fredholm complexes -- III Related topics -- Notations.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-011-0375-6
Links to Related Works	Subject References: Functional Analysis . Functions of complex variables . Integral transforms . Integral Transforms, Operational Calculus . Mathematics . Operational calculus . Operator Theory . Partial differential equations . Several Complex Variables and Analytic Spaces . Authors: Ambrozie, Cǎlin-Grigore . Vasilescu, Florian-Horia . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications . Classification: 515.724 .

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Banach Space Complexes

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