Partial integral operators on C([a,b]x[c,d])

被引：9
作者：
Appell, J
Frolova, EV
Kalitvin, AS
Zabrejko, PP
机构：
[1] PEDAGOG INST, MATEMAT FAK, R-398020 LIPETSK, RUSSIA
[2] BELGOSUNIV, MATEMAT FAK, BR-220050 MINSK, BELARUS
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 1997年 / 27卷 / 02期
关键词：
45 P 05; 46 E 25; 47 G 10; 26 A 15; 26 A 45;
D O I：
10.1007/BF01191528
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give acting and boundedness conditions for so-called partial integral operators on the space C = C([a, b] × [c, d]) which are both necessary and sufficient. Moreover, we discuss some algebras and ideals of such operators, considered as subspaces of the algebra ℒ(C) of all bounded linear operators on C.
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页码：125 / 140
页数：16
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