The product formula.

Genaro López Acedo

Collectanea Mathematica (1991)

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

Abstract

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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.

How to cite

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López 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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