Invariant subspaces of p-adic Hilbert spaces

被引:0
|
作者
Elek, G [1 ]
Szabó, E [1 ]
机构
[1] Hungarian Acad Sci, Renyi Alfred Kutatointezet, H-1364 Budapest, Hungary
关键词
p-adic Hilbert spaces; group algebras; p-adic functional analysis;
D O I
10.1556/SScMath.40.2003.1-2.13
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study the invariant subspaces of p-adic Hilbert spaces. We show some fundamental differences between the complex case and the p-adic case.
引用
收藏
页码:159 / 170
页数:12
相关论文
共 50 条
  • [1] ON P-ADIC HILBERT SPACES
    KALISCH, GK
    ANNALS OF MATHEMATICS, 1947, 48 (01) : 180 - 192
  • [2] On orthocomplemented subspaces in p-adic Banach spaces
    Kubzdela, A
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2005, 16 (02): : 225 - 235
  • [3] Finite-dimensional orthocomplemented subspaces in p-adic normed spaces
    Perez-Garcia, C
    Schikhof, WH
    ULTRAMETRIC FUNCTIONAL ANALYSIS, 2003, 319 : 281 - 298
  • [4] Generalized semi-invariant distributions on p-adic spaces
    Hong, Jiuzu
    Sun, Binyong
    MATHEMATISCHE ANNALEN, 2017, 367 (3-4) : 1727 - 1776
  • [5] Generalized semi-invariant distributions on p-adic spaces
    Jiuzu Hong
    Binyong Sun
    Mathematische Annalen, 2017, 367 : 1727 - 1776
  • [6] Invariant Subspaces of Idempotents on Hilbert Spaces
    Neeru Bala
    Nirupam Ghosh
    Jaydeb Sarkar
    Integral Equations and Operator Theory, 2023, 95
  • [7] Invariant Subspaces of Idempotents on Hilbert Spaces
    Bala, Neeru
    Ghosh, Nirupam
    Sarkar, Jaydeb
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2023, 95 (01)
  • [8] P-adic Measures and P-adic Spaces of Continuous Functions
    Katsaras, A. K.
    NOTE DI MATEMATICA, 2010, 30 (01): : 61 - 85
  • [9] A CONFORMAL P-ADIC INVARIANT
    MOTZKIN, E
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 269 (13): : 507 - &
  • [10] p-Adic Invariant Summation of Some p-Adic Functional Series
    Dragovich, B.
    Misic, N. Z.
    P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2014, 6 (04) : 275 - 283