A NEW APPROACH TO INTERPOLATION IN HILBERT-SPACES

被引：3
|
作者：
LOFSTROM, J
机构：
[1] Department of Mathematics, University of Göteborg
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1991年 / 101卷 / 01期
关键词：
D O I：
10.1016/0022-1236(91)90154-W
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let T be a closed, densely defined operator on a Hilbert space H. A family Λ(t) of bounded linear operators is constructed so that L(t, x) = (∥x - Λ(t)x∥2 + t2∥TΛ(t)x∥2) 1 2 is equivalent to the Peetre K-functional for interpolation between H and the domain of definition of T, The construction is applied to boundary value problems and interpolation with constraints. © 1991.
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页码：177 / 193
页数：17
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