# Semiperfect countable C-separative C-finite semigroups.

Collectanea Mathematica (2001)

- Volume: 52, Issue: 1, page 55-73
- ISSN: 0010-0757

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topBisgaard, Torben Maack. "Semiperfect countable C-separative C-finite semigroups.." Collectanea Mathematica 52.1 (2001): 55-73. <http://eudml.org/doc/41682>.

@article{Bisgaard2001,

abstract = {Semiperfect semigroups are abelian involution semigroups on which every positive semidefinite function admits a disintegration as an integral of hermitian multiplicative functions. Famous early instances are the group on integers (Herglotz Theorem) and the semigroup of nonnegative integers (Hamburger's Theorem). In the present paper, semiperfect semigroups are characterized within a certain class of semigroups. The paper ends with a necessary condition for the semiperfectness of a finitely generated involution semigroup, a condition which has since been found to be also sufficient.},

author = {Bisgaard, Torben Maack},

journal = {Collectanea Mathematica},

keywords = {Análisis armónico; Semigrupos; Aplicación involutiva; semiperfect semigroups; abelian involution semigroups; positive semidefinite function},

language = {eng},

number = {1},

pages = {55-73},

title = {Semiperfect countable C-separative C-finite semigroups.},

url = {http://eudml.org/doc/41682},

volume = {52},

year = {2001},

}

TY - JOUR

AU - Bisgaard, Torben Maack

TI - Semiperfect countable C-separative C-finite semigroups.

JO - Collectanea Mathematica

PY - 2001

VL - 52

IS - 1

SP - 55

EP - 73

AB - Semiperfect semigroups are abelian involution semigroups on which every positive semidefinite function admits a disintegration as an integral of hermitian multiplicative functions. Famous early instances are the group on integers (Herglotz Theorem) and the semigroup of nonnegative integers (Hamburger's Theorem). In the present paper, semiperfect semigroups are characterized within a certain class of semigroups. The paper ends with a necessary condition for the semiperfectness of a finitely generated involution semigroup, a condition which has since been found to be also sufficient.

LA - eng

KW - Análisis armónico; Semigrupos; Aplicación involutiva; semiperfect semigroups; abelian involution semigroups; positive semidefinite function

UR - http://eudml.org/doc/41682

ER -