Dividing in the algebra of compact operators

被引:0
|
作者
Berenstein, A [1 ]
机构
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
关键词
D O I
10.2178/jsl/1096901769
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We interpret the algebra of finite rank operators as imaginaries inside a Hilbert space. We prove that the Hilbert space enlarged with these imaginaries has built-in canonical bases.
引用
收藏
页码:817 / 829
页数:13
相关论文
共 50 条
  • [1] Hypercyclic Translation Operators on the Algebra of Compact Operators
    Ivkovic, Stefan
    Tabatabaie, Seyyed Mohammad
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2021, 45 (05): : 1765 - 1775
  • [2] Hypercyclic Translation Operators on the Algebra of Compact Operators
    Stefan Ivković
    Seyyed Mohammad Tabatabaie
    Iranian Journal of Science and Technology, Transactions A: Science, 2021, 45 : 1765 - 1775
  • [3] Spatiality of Derivations on the Algebra of τ-Compact Operators
    Ayupov, Shavkat
    Kudaybergenov, Karimbergen
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2013, 77 (04) : 581 - 598
  • [4] WEAKLY COMPACT OPERATORS ON DISK ALGEBRA
    DELBAEN, F
    JOURNAL OF ALGEBRA, 1977, 45 (02) : 284 - 294
  • [5] Spatiality of Derivations on the Algebra of τ-Compact Operators
    Shavkat Ayupov
    Karimbergen Kudaybergenov
    Integral Equations and Operator Theory, 2013, 77 : 581 - 598
  • [6] Operators on a nonlocally compact group algebra
    Ludkovsky, S. V.
    BULLETIN DES SCIENCES MATHEMATIQUES, 2013, 137 (04): : 557 - 573
  • [7] COMPACT OPERATORS IN ALGEBRA GENERATED BY ESSENTIALLY UNITARY CO OPERATORS
    NORDGREN, EA
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 51 (01) : 159 - 162
  • [8] OPERATORS ON FOURIER ALGEBRA WITH WEAKLY COMPACT EXTENSIONS
    DUNKL, CF
    RAMIREZ, DE
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1974, 26 (02): : 450 - 454
  • [9] EXTENSION OF DERIVATIONS IN THE ALGEBRA OF COMPACT-OPERATORS
    NAKAZATO, H
    JOURNAL OF FUNCTIONAL ANALYSIS, 1984, 57 (02) : 101 - 110
  • [10] THE C*-ALGEBRA OF COMPACT PERTURBATIONS OF DIAGONAL OPERATORS
    Andruchow, Esteban
    Chiumiento, Eduardo
    Varela, Alejandro
    OPERATORS AND MATRICES, 2021, 15 (01): : 59 - 84