On the interpolation of the measure of non-compactness of bilinear operators with weak assumptions on the boundedness of the operator

被引：4

作者：

Cobos, Fernando ^{[1
]}

Fernandez-Cabrera, Luz M. ^{[2
]}

Martinez, Anton ^{[3
]}

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 Estadist, Dept Anal Matemat & Matemat Aplicada, Secc Dept, Madrid 28040, Spain

[3] Univ Vigo, Dept Matemat Aplicada I, Escuela Ingn Ind, Vigo 36200, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 504卷 / 01期

关键词：

Bilinear operators; Measure of non-compactness; Duality for bilinear operators; Real interpolation;

D O I：

10.1016/j.jmaa.2021.125376

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We complete the range of the parameters in the interpolation formula established by Mastylo and Silva for the measure of non-compactness of a bilinear operator interpolated by the real method. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：11

共 50 条

[1] INTERPOLATION OF A MEASURE OF WEAK NON-COMPACTNESS
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[J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2011, 36 (02) : 537 - 552
[2] Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces
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Cobos, Fernando
[J]. JOURNAL OF APPROXIMATION THEORY, 2019, 243 : 25 - 44
[3] Remarks on interpolation properties of the measure of weak non-compactness and ideal variations
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Martínez, A
[J]. MATHEMATISCHE NACHRICHTEN, 1999, 208 : 93 - 100
[4] On a measure of non-compactness for maximal operators
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[J]. MATHEMATISCHE NACHRICHTEN, 2003, 254 : 97 - 106
[5] ON INTERPOLATION OF THE MEASURE OF NON-COMPACTNESS BY THE COMPLEX METHOD
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[J]. QUARTERLY JOURNAL OF MATHEMATICS, 2015, 66 (01): : 323 - 332
[6] LOGARITHMIC INTERPOLATION METHODS AND MEASURE OF NON-COMPACTNESS
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[J]. QUARTERLY JOURNAL OF MATHEMATICS, 2020, 71 (01): : 73 - 95
[7] Interpolation of the measure of non-compactness by the real method
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[J]. STUDIA MATHEMATICA, 1999, 135 (01) : 25 - 38
[8] THE MEASURE OF NON-COMPACTNESS OF A DISJOINTNESS PRESERVING OPERATOR
SCHEP, AR
[J]. JOURNAL OF OPERATOR THEORY, 1989, 21 (02) : 397 - 402
[9] On a measure of non-compactness for some classical operators
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[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (06) : 1847 - 1862
[10] On a Measure of Non-compactness for Some Classical Operators
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[J]. Acta Mathematica Sinica,English Series, 2006, 22 (06) : 1847 - 1862

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