Weakly compact bilinear operators among real interpolation spaces

被引：0
|
作者：
Cobos, Fernando [1 ]
Fernandez-Cabrera, Luz M. [2 ]
机构：
[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat & Matemat Aplicada, Plaza Ciencias 3, Madrid 28040, Spain
[2] Univ Complutense Madrid, Fac Estudios Estadisticos, Dept Anal Matemat & Matemat Aplicada, Secc Dept, Madrid 28040, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 529卷 / 02期
关键词：
Weakly compact bilinear operators; Real interpolation; Complex interpolation; Compact bilinear operators;
D O I：
10.1016/j.jmaa.2022.126837
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show a necessary and sufficient condition for weak compactness of bilinear operators interpolated by the real method. This characterization does not hold for interpolated operators by the complex method.(c) 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
引用
收藏
页数：6
相关论文
共 50 条
  • [1] On interpolation of weakly compact bilinear operators
    Cobos, Fernando
    Fernandez-Cabrera, Luz M.
    Martinez, Anton
    [J]. MATHEMATISCHE NACHRICHTEN, 2022, 295 (07) : 1279 - 1291
  • [2] Real Interpolation of Compact Bilinear Operators
    Luz M. Fernández-Cabrera
    Antón Martínez
    [J]. Journal of Fourier Analysis and Applications, 2018, 24 : 1181 - 1203
  • [3] Real Interpolation of Compact Bilinear Operators
    Fernandez-Cabrera, Luz M.
    Martinez, Anton
    [J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2018, 24 (05) : 1181 - 1203
  • [4] Interpolation of compact bilinear operators among quasi-Banach spaces and applications
    Cobos, Fernando
    Fernandez-Cabrera, Luz M.
    Martinez, Anton
    [J]. MATHEMATISCHE NACHRICHTEN, 2018, 291 (14-15) : 2168 - 2187
  • [5] Interpolation of compact bilinear operators
    Mastylo, Mieczyslaw
    Silva, Eduardo B.
    [J]. BULLETIN OF MATHEMATICAL SCIENCES, 2020, 10 (02)
  • [6] Compact operators between real interpolation spaces
    Fernández-Cabrera, LM
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2002, 5 (02): : 283 - 289
  • [7] Interpolation of limited and weakly compact operators on families of Banach spaces
    Carro, MJ
    Nikolova, LI
    [J]. ACTA APPLICANDAE MATHEMATICAE, 1997, 49 (02) : 151 - 177
  • [8] Interpolation of Limited and Weakly Compact Operators on Families of Banach Spaces
    MarÍa J. Carro
    L. I. Nikolova
    [J]. Acta Applicandae Mathematica, 1997, 49 : 151 - 177
  • [9] On interpolation properties of compact bilinear operators
    Fernandez-Cabrera, Luz M.
    Martinez, Anton
    [J]. MATHEMATISCHE NACHRICHTEN, 2017, 290 (11-12) : 1663 - 1677
  • [10] Interpolation of bilinear operators in Marcinkiewicz spaces
    Astashkin, SV
    Kim, YE
    [J]. MATHEMATICAL NOTES, 1996, 60 (3-4) : 363 - 371
12345