On the Weak-Riemann Integrability of Weak*-Continuous Functions

被引：1

作者：

Lone, Nisar A. ^{[1
]}

机构：

[1] Univ Kashmir, Dept Math, Srinagar 190006, Jammu & Kashmir, India

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 01期

关键词：

Grothendieck space; Riemann-integrable function; weak*-convergence;

D O I：

10.1007/s00009-016-0803-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we explore the question of weak-Riemann integrability of functions taking values in a dual Banach space and show that to ensure weak-Riemann integrability of weak*-continuous functions, it is both necessary and sufficient that the space in question be a Grothendieck space.

引用

页数：6

共 50 条

[41] Weak integrability of Hamiltonians on the two torus and rigidity
Gomes, Jose Barbosa
Ruggiero, Rafael O.
NONLINEARITY, 2013, 26 (07) : 2109 - 2129
[42] WEAK-LOCALIZATION AND INTEGRABILITY IN BALLISTIC CAVITIES
BARANGER, HU
JALABERT, RA
STONE, AD
PHYSICAL REVIEW LETTERS, 1993, 70 (25) : 3876 - 3879
[43] Integrability of Liénard systems with a weak saddle
Armengol Gasull
Jaume Giné
Zeitschrift für angewandte Mathematik und Physik, 2017, 68
[44] INTEGRABILITY RESULTS FOR WEAK SOLUTIONS TO ULTRAPARABOLIC EQUATIONS
Dong, Yan
MATHEMATICAL REPORTS, 2020, 22 (02): : 133 - 161
[45] INTEGRABILITY AND A CLASS OF CONTINUOUS FUNCTIONS
APPLING, WDL
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (04): : 644 - &
[46] WEAK STABILITY AND WEAK DISCRETE CONVERGENCE OF CONTINUOUS MAPPINGS
STUMMEL, F
NUMERISCHE MATHEMATIK, 1976, 26 (03) : 301 - 315
[47] The continuous weak order
Gouveia, Maria Joao
Santocanale, Luigi
JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 225 (02)
[48] MULTIPLICATION OF WEAK FUNCTIONS
丁夏畦
王振
Acta Mathematica Scientia, 2005, (03) : 569 - 576
[49] GENERALIZED WEAK FUNCTIONS
丁夏畦
罗佩珠
Acta Mathematica Scientia, 2004, (04) : 691 - 697
[50] WEAK NORMALITY AND FUNCTIONS
BALL, ES
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (02): : 461 - &

← 1 2 3 4 5 →