A NOTE ON IRREDUCIBLE REPRESENTATIONS OF SOME VECTOR-VALUED FUNCTION ALGEBRAS

被引：0

作者：

Hoim, Terje ^{[1
,2
]}

Robbins, D. A. ^{[3
,4
]}

机构：

[1] Florida Atlantic Univ, Wilkes Honors Coll, Jupiter, FL 33458 USA

[2] Tartu Univ, Tartu, Estonia

[3] Trinity Coll, Dept Math, Hartford, CT 06106 USA

[4] 5012 N Via Velazquez, Tucson, AZ 85750 USA

来源：

ADVANCES IN OPERATOR THEORY | 2019年 / 4卷 / 02期

关键词：

Irreducible representation; bundle of Banach algebras; cover-strict topology; cover topology; TOPOLOGIES; QUOTIENTS; IDEALS; SPACES;

D O I：

10.15352/aot.1805-1370

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let pi : epsilon -> X be a bundle of Banach algebras, where X is a completely regular Hausdorff space. We identify the sets of irreducible representations of several topological subalgebras of Gamma(pi); the space of continuous sections of pi: The results unify recent and older work of various authors regarding representations on algebra-valued function spaces.

引用

页码：419 / 427

页数：9

共 50 条

[41] Random unconditional convergence of vector-valued Dirichlet series
Carando, Daniel
Marceca, Felipe
Scotti, Melisa
Tradacete, Pedro
JOURNAL OF FUNCTIONAL ANALYSIS, 2019, 277 (09) : 3156 - 3178
[42] Vector-Valued Reproducing Kernel Hilbert C*-Modules
Moslehian, Mohammad Sal
COMPLEX ANALYSIS AND OPERATOR THEORY, 2022, 16 (01)
[43] The vector-valued Stieltjes moment problem with general exponents
Debrouwere, Andreas
Neyt, Lenny
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2024, 18 (03)
[44] Vector-valued extensions for fractional integrals of Laguerre expansions
Ciaurri, Oscar
Roncal, Luz
STUDIA MATHEMATICA, 2018, 240 (01) : 69 - 99
[45] WAVELET EXPANSIONS FOR WEIGHTED, VECTOR-VALUED BMO FUNCTIONS
Hytonen, Tuomas
Salinas, Oscar
Viviani, Beatriz
JOURNAL D ANALYSE MATHEMATIQUE, 2010, 111 : 321 - 337
[46] On the transformation of vector-valued sequences by linear and multilinear operators
Botelho, Geraldo
Campos, Jamilson R.
MONATSHEFTE FUR MATHEMATIK, 2017, 183 (03): : 415 - 435
[47] A WEAK VECTOR-VALUED BANACH-STONE THEOREM
Candido, Leandro
Galego, Eloi Medina
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (10) : 3529 - 3538
[48] Vector-valued singular integral operators with rough kernels
Lai, Xudong
MATHEMATISCHE NACHRICHTEN, 2023, 296 (06) : 2417 - 2439
[49] On a vector-valued Hopf-Dunford-Schwartz lemma
Charpentier, S.
Deleaval, L.
POSITIVITY, 2013, 17 (03) : 899 - 910
[50] Extensions of the vector-valued Hausdorff-Young inequalities
Dominguez, Oscar
Veraar, Mark
MATHEMATISCHE ZEITSCHRIFT, 2021, 299 (1-2) : 373 - 425

← 1 2 3 4 5 →