A note on factoring of positive definite functions on semigroups

被引：0

作者：

Bisgaard, TM

机构：

来源：

MATHEMATISCHE NACHRICHTEN | 2002年 / 236卷

关键词：

positive definite function; semigroup; factoring;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of characterizing those semigroups of class M such that every positive definite function factors via the greatest C-separative *-homomorphic image is shown to be equivalent to several other problems, including that of characterizing flat semigroups. If the latter could be solved then the problem of characterizing perfect semigroups would be reduced to characterizing quasi-perfect semigroups.

引用

页码：31 / 46

页数：16

共 50 条

[21] Density properties of Hankel translations of positive definite functions
J.J. Betancor
L. Rodríguez-Mesa
Archiv der Mathematik, 2000, 75 : 456 - 463
[22] Positive definite functions on infinite-dimensional convex cones
Glöckner, H
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 166 (789) : IX - +
[23] On positive and negative definite functions related to a big Heisenberg group
Rabaoui, Marouane
POSITIVITY, 2022, 26 (02)
[24] Convex Characteristics of Quaternionic Positive Definite Functions on Abelian Groups
Liu, Jingning
Zhu, Zeping
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2024, 34 (03)
[25] Extension of the Schoenberg theorem to integrally conditionally positive definite functions
Phillips, T. R. L.
Schmidt, K. M.
Zhigljavsky, A.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 470 (01) : 659 - 678
[26] Boas–Kac roots of positive definite functions of several variables
R. Akopyan
A. Efimov
Analysis Mathematica, 2017, 43 : 359 - 369
[27] On the Riemann-Hilbert factorization problem for positive definite functions
Kucerovsky, Dan
Najafabadi, Amir T. P.
Sarraf, Aydin
POSITIVITY, 2016, 20 (03) : 743 - 754
[28] On a separation property of positive definite functions on locally compact groups
Eberhard Kaniuth
Anthony T. Lau
Mathematische Zeitschrift, 2003, 243 : 161 - 177
[29] On the Riemann-Hilbert factorization problem for positive definite functions
Dan Kučerovský
Amir T. P. Najafabadi
Aydin Sarraf
Positivity, 2016, 20 : 743 - 754
[30] POSITIVE DEFINITE FUNCTIONS AND DUAL PAIRS OF LOCALLY CONVEX SPACES
Alpay, Daniel
Gabriyelyan, Saak
OPUSCULA MATHEMATICA, 2018, 38 (04) : 463 - 482

← 1 2 3 4 5 →