γ-Frames, GΓ-Algebras and Measurable Spaces

被引：0
|
作者：
Roehrl, Helmut [1 ]
机构：
[1] Univ Calif San Diego, La Jolla, CA 92037 USA
来源：
APPLIED CATEGORICAL STRUCTURES | 2010年 / 18卷 / 01期
关键词：
gamma-Frames; gamma-Topological spaces; gamma-Measurable spaces; gamma-Sober spaces; G Gamma-algebras; gamma-Spatial algebras;
D O I：
10.1007/s10485-008-9160-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The category of gamma-Frm of gamma-frames, which is isomorphic to the category G Gamma-Alg of D-algebras satisfying certain identities, and the category gamma-Top of gamma-topological spaces provide the background for the category gamma-Mbl of gamma-measurable spaces. Lambda s in the category of frames, the functor Omega(gamma) : gamma-Top (sic) (X, Omega(X)) bar right arrow Omega is an element of gamma-Frm(op) has a right adjoint Pt-gamma : G Gamma-Alg(op) -> gamma-Top.
引用
收藏
页码：31 / 53
页数：23
相关论文
共 50 条
  • [1] γ-Frames, GΓ-Algebras and Measurable Spaces
    Helmut Röhrl
    Applied Categorical Structures, 2010, 18 : 31 - 53
  • [2] Frames Associated with Measurable Spaces
    Jean-Pierre Gabardo
    Deguang Han
    Advances in Computational Mathematics, 2003, 18 : 127 - 147
  • [3] Frames associated with measurable spaces
    Gabardo, JP
    Han, DG
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2003, 18 (2-4) : 127 - 147
  • [4] ON FUZZY σ-ALGEBRAS AND FUZZY MEASURABLE SPACES
    王戈平
    Science Bulletin, 1982, (08) : 818 - 821
  • [5] SOME RESULTS CONCERNING FRAMES ASSOCIATED WITH MEASURABLE SPACES
    Kaushik, S. K.
    Vashisht, L. K.
    Sharma, S. K.
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2013, 4 (01): : 52 - 60
  • [6] ON FUZZY SIGMA-ALGEBRAS AND FUZZY MEASURABLE SPACES
    WANG, GP
    KEXUE TONGBAO, 1982, 27 (08): : 818 - 821
  • [7] G-FRAMES AND STABILITY OF G-FRAMES IN HILBERT SPACES
    Najati, Abbas
    Faroughi, M. H.
    Rahimi, Asghar
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2008, 14 (03): : 271 - 286
  • [8] Fusion frames and G-frames in Banach spaces
    AMIR KHOSRAVI
    BEHROOZ KHOSRAVI
    Proceedings - Mathematical Sciences, 2011, 121 : 155 - 164
  • [9] Fusion frames and G-frames in Banach spaces
    Khosravi, Amir
    Khosravi, Behrooz
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2011, 121 (02): : 155 - 164
  • [10] Algebras of weakly symmetric functions on spaces of Lebesgue measurable functions
    Burtnyak, I. V.
    Chopyuk, Yu. Yu.
    Vasylyshyn, S. I.
    Vasylyshyn, T. V.
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2023, 15 (02) : 411 - 419
12345