Five Hilbert Space Problems in Operator Algebras

被引：0

作者：

L. W. Marcoux

机构：

[1] University of Waterloo,Department of Pure Mathematics

来源：

Complex Analysis and Operator Theory | 2022年 / 16卷

关键词：

Nilpotents; Biquasitriangular; Algebraic elements; Commutators; Specht’s theorem; Similarity orbits; Primary 46C15; Secondary 47-02;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A number of questions which have been solved over the years in the theory of single operators acting on Hilbert space have interesting analogues when recast in the setting of elements of C∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^*$$\end{document}-algebras. We list five of these, as well as a number of “sub-problems” arising from them.

引用

共 50 条

[1] Five Hilbert Space Problems in Operator Algebras
Marcoux, L. W.
[J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2022, 16 (08)
[2] REGULARITY FOR OPERATOR-ALGEBRAS ON A HILBERT-SPACE
FROELICH, J
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 119 (04) : 1269 - 1277
[3] Approximation of operator eigenvalue problems in a Hilbert space
Solovyev, S. I.
[J]. 11TH INTERNATIONAL CONFERENCE ON MESH METHODS FOR BOUNDRY-VALUE PROBLEMS AND APPLICATIONS, 2016, 158
[4] Hilbert Algebras with a Modal Operator
Celani, Sergio A.
Montangie, Daniela
[J]. STUDIA LOGICA, 2015, 103 (03) : 639 - 662
[5] The operator Hilbert space OH and type III von Neumann algebras
Pisier, G
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2004, 36 : 455 - 459
[6] Maps on Hilbert space effect algebras preserving norms of operator means
Gaal, Marcell
Nagy, Gergo
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 2018, 84 (1-2): : 201 - 208
[7] SOME PROBLEMS OF THEORY OF OPERATOR EQUATIONS IN A HILBERT-SPACE
MIKHLIN, SG
[J]. VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1975, (01): : 109 - 115
[8] HILBERT ALGEBRAS WITH A NECESSITY MODAL OPERATOR
Celani, Sergio A.
Montangie, Daniela
[J]. REPORTS ON MATHEMATICAL LOGIC, 2014, 49 : 47 - 77
[9] GRASSMANN ALGEBRAS AS HILBERT SPACE
DEPILLIS, J
[J]. JOURNAL OF ALGEBRA, 1968, 10 (04) : 485 - &
[10] HILBERT MODULES OVER OPERATOR-ALGEBRAS
MUHLY, PS
SOLEL, B
[J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 117 (559) : 1 - &

← 1 2 3 4 5 →