SYMMETRIC CONTINUOUS LINEAR FUNCTIONALS ON COMPLEX SPACE L-infinity [0, 1]

被引：6

作者：

Vasylyshyn, T. V. ^{[1
]}

机构：

[1] Vasyl Stefanyk Precarpathian Natl Univ, 57 Shevchenka Str, UA-76018 Ivano Frankivsk, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2014年 / 6卷 / 01期

关键词：

symmetric linear functional;

D O I：

10.15330/cmp.6.1.8-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every symmetric continuous linear functional on the complex space L-infinity [0, 1] can be represented as a Lebesgue integral multiplied by a constant.

引用

页码：8 / 10

页数：3

共 50 条

[41] THE BEST HARMONIC CONVOLUTION APPROXIMATION IN L1 AND L-INFINITY
GANZBURG, MI
IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA, 1985, (05): : 22 - 27
[42] STRICT DISCRETE APPROXIMATION IN THE L1 AND L-INFINITY NORMS
PLANITZ, M
GATES, J
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 1991, 40 (01) : 113 - 122
[43] L-INFINITY CONVERGENCE OF LINEAR FINITE-ELEMENTS IN DIRICHLET PROBLEM
RANNACHER, R
MATHEMATISCHE ZEITSCHRIFT, 1976, 149 (01) : 69 - 77
[44] A CHARACTERIZATION OF THE MACKEY TOPOLOGY TAU(L-INFINITY,L1)
NOWAK, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 108 (03) : 683 - 689
[45] NEAR ISOMETRIES OF BOCHNER L1 AND L-INFINITY SPACES
CAMBERN, M
PACIFIC JOURNAL OF MATHEMATICS, 1986, 122 (01) : 1 - 10
[46] INTERPOLATION SPACES BETWEEN (LI(W0), LI(W1)) AND (L1,L-INFINITY)
DMITRIEV, VI
MATHEMATICAL NOTES, 1975, 17 (5-6) : 433 - 438
[47] MIXED L-INFINITY/H-INFINITY SUBOPTIMAL CONTROLLERS FOR SISO CONTINUOUS-TIME SYSTEMS
SZNAIER, M
BLANCHINI, F
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (11) : 1831 - 1840
[48] CACSD USING THE STATE-SPACE L-INFINITY THEORY - A DESIGN EXAMPLE
SAFONOV, MG
CHIANG, RY
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (05) : 477 - 479
[49] COMPUTING THE RELATIVE NEIGHBORHOOD GRAPH IN THE L1 AND L-INFINITY METRICS
OROURKE, J
PATTERN RECOGNITION, 1982, 15 (03) : 189 - 192
[50] An Algorithm for Minimum L-Infinity Solution of Under-determined Linear Systems
Earle, Adam Christopher
Ali, M. Montaz
Fannuchi, Dario
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 175 (02) : 510 - 526

← 1 2 3 4 5 →