Semiperfect countable C-separative C-finite semigroups.

Torben Maack Bisgaard

Collectanea Mathematica (2001)

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

Abstract

top
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.

How to cite

top

Bisgaard, 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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.