On Operator-valued Measurable Functions

被引:0
|
作者
Fourie, Jan H. [1 ]
机构
[1] North West Univ, Sch Comp Stat & Math Sci, ZA-2520 Potchefstroom, South Africa
关键词
Vector-valued measurable function; strongly p-integrable function; integral multiplier function; FUNCTION-SPACES;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we discuss several results about classes of vector-valued (more specifically, operator-valued) measurable functions. The results we discuss are mostly applications of a useful lemma (Lemma 2.1 in this paper) about measurable operator-valued functions. The lemma and its elementary proof, as well as some special versions thereof, are also discussed in this note.
引用
收藏
页码:205 / 214
页数:10
相关论文
共 50 条
  • [11] A STOCHASTIC INTEGRAL OF OPERATOR-VALUED FUNCTIONS
    Tesko, Volodymyr
    [J]. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2008, 14 (02): : 132 - 141
  • [12] Remarks on Measurability of Operator-Valued Functions
    Blasco, Oscar
    Garcia-Bayona, Ismael
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) : 5147 - 5162
  • [13] Lp Spaces of Operator-Valued Functions
    Ramsey, Christopher
    Reeves, Adam
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2021, 93 (05)
  • [14] Addition theorems for operator-valued functions
    Ekaterina Shulman
    [J]. Aequationes mathematicae, 2003, 66 (1-2) : 78 - 84
  • [15] Operator-valued typically real functions
    Fan, K
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (03) : 765 - 771
  • [16] A STOCHASTIC INTEGRAL FOR OPERATOR-VALUED FUNCTIONS
    VAKHANIYA, NN
    KANDELSK.NP
    [J]. THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1967, 12 (03): : 525 - +
  • [17] Remarks on Measurability of Operator-Valued Functions
    Oscar Blasco
    Ismael García-Bayona
    [J]. Mediterranean Journal of Mathematics, 2016, 13 : 5147 - 5162
  • [18] On the Bounded Variation of Operator-Valued Functions
    张波
    薛小平
    [J]. 数学进展, 1991, (03) : 376 - 377
  • [19] FACTORING COMPACT OPERATOR-VALUED FUNCTIONS
    BERCOVICI, H
    FOIAS, C
    PEARCY, C
    SZNAGY, B
    [J]. ACTA SCIENTIARUM MATHEMATICARUM, 1985, 48 (1-4): : 25 - 36
  • [20] ON GROWTH CHARACTERISTICS OF OPERATOR-VALUED FUNCTIONS
    Mishin, S. N.
    [J]. UFA MATHEMATICAL JOURNAL, 2013, 5 (01): : 112 - 124