On configurations of subspaces of a Hilbert space with fixed angles between them

被引：0

作者：

M. A. Vlasenko

N. D. Popova

机构：

[1] Ukrainian Academy of Sciences,Institute of Mathematics

来源：

Ukrainian Mathematical Journal | 2004年 / 56卷 / 5期

关键词：

Hilbert Space; Irreducible Representation; Representation Type; Tame Representation Type; Irreducible Configuration;

D O I：

10.1007/PL00022176

中图分类号：

学科分类号：

摘要：

We investigate the set of irreducible configurations of subspaces of a Hilbert space for which the angle between every two subspaces is fixed. This is the problem of *-representations of certain algebras generated by idempotents and depending on parameters (on the set of angles). We separate the class of problems of finite and tame representation type. For these problems, we indicate conditions on angles under which the configurations of subspaces exist and describe all irreducible representations.

引用

页码：730 / 740

页数：10

共 50 条

[41] On results of Krein, Rao and Lin about angles between vectors in a Hilbert space
Marek Niezgoda
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
[42] On results of Krein, Rao and Lin about angles between vectors in a Hilbert space
Niezgoda, Marek
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (02)
[43] Exotic indecomposable systems of four subspaces in a Hilbert space
Enomoto, Masatoshi
Watatani, Yasuo
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2007, 59 (02) : 149 - 164
[44] SYSTEMS OF ONE-DIMENSIONAL SUBSPACES OF A HILBERT SPACE
Grushevoy, R. V.
Samoilenko, Yu. S.
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2010, 16 (02): : 131 - 139
[45] INVARIANT SUBSPACES FOR CERTAIN COMMUTING OPERATORS ON HILBERT SPACE
BERNSTEIN, AR
ANNALS OF MATHEMATICS, 1972, 95 (02) : 253 - +
[46] Exotic Indecomposable Systems of Four Subspaces in a Hilbert Space
Masatoshi Enomoto
Yasuo Watatani
Integral Equations and Operator Theory, 2007, 59 : 149 - 164
[47] VECTOR MEASURES ON CLOSED SUBSPACES OF A HILBERT-SPACE
JAJTE, R
PASZKIEWICZ, A
STUDIA MATHEMATICA, 1978, 63 (03) : 229 - 251
[48] INTERPRETATION OF LATTICE OF SUBSPACES OF HILBERT SPACE AS A PROPOSITIONAL CALCULUS
MITTELSTAEDT, P
ZEITSCHRIFT FUR NATURFORSCHUNG PART A-ASTROPHYSIK PHYSIK UND PHYSIKALISCHE CHEMIE, 1972, A 27 (8-9): : 1358 - +
[49] UNBOUNDED MEASURES ON CLOSED SUBSPACES OF A HILBERT-SPACE
HADJISAVVAS, N
MUGURSCHACHTER, M
LETTERE AL NUOVO CIMENTO, 1978, 23 (12): : 439 - 443
[50] ON SIMPLE n-TUPLES OF SUBSPACES OF A HILBERT SPACE
Samoilenko, Yu. S.
Strelets, A. V.
UKRAINIAN MATHEMATICAL JOURNAL, 2009, 61 (12) : 1956 - 1994

← 1 2 3 4 5 →