# The product formula.

Collectanea Mathematica (1991)

- Volume: 42, Issue: 2, page 157-162
- ISSN: 0010-0757

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topLópez Acedo, Genaro. "The product formula.." Collectanea Mathematica 42.2 (1991): 157-162. <http://eudml.org/doc/42476>.

@article{LópezAcedo1991,

abstract = {A useful property of the Brouwerdegree relates the degree of a composition of maps to the degree of each map. This property, which can be generalized for the Leray Schauder degree and in some cases for the A-proper maps is called the Product Formula. In a previous paper we developed a generalized degree theory for a class of mappings, this class contains the class of A-proper mappings and compact mappings. In this paper we prove a generalization of the Product Formula when one factor is of the Identity+Compact type and the other is an A-compact mapping.},

author = {López Acedo, Genaro},

journal = {Collectanea Mathematica},

keywords = {Algebra de operadores; Algebra topológica; Geometría y estructura de espacios de Banach; Teoría del grado; Mapeo (Algebra); product formula; topological degree; composition of an -proper map and a compact perturbation of the identity},

language = {eng},

number = {2},

pages = {157-162},

title = {The product formula.},

url = {http://eudml.org/doc/42476},

volume = {42},

year = {1991},

}

TY - JOUR

AU - López Acedo, Genaro

TI - The product formula.

JO - Collectanea Mathematica

PY - 1991

VL - 42

IS - 2

SP - 157

EP - 162

AB - A useful property of the Brouwerdegree relates the degree of a composition of maps to the degree of each map. This property, which can be generalized for the Leray Schauder degree and in some cases for the A-proper maps is called the Product Formula. In a previous paper we developed a generalized degree theory for a class of mappings, this class contains the class of A-proper mappings and compact mappings. In this paper we prove a generalization of the Product Formula when one factor is of the Identity+Compact type and the other is an A-compact mapping.

LA - eng

KW - Algebra de operadores; Algebra topológica; Geometría y estructura de espacios de Banach; Teoría del grado; Mapeo (Algebra); product formula; topological degree; composition of an -proper map and a compact perturbation of the identity

UR - http://eudml.org/doc/42476

ER -

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