ON THE DEFECT OF NONDENSENESS OF CONTINUOUS IMBEDDINGS IN THE SCALE OF HILBERT SPACES

被引：0

作者：

Bozhok, R. V. ^{[1
]}

机构：

[1] Ukrainian Acad Sci, Inst Math, Kiev, Ukraine

来源：

关键词：

Hilbert Space; Singular Perturbation; Proper Subset; Separable Hilbert Space; Orthogonal Subspace;

D O I：

10.1007/s11253-008-0085-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a formula for the determination of a defect under a continuous imbedding of subspaces in the scale of Hilbert spaces.

引用

页码：810 / 815

页数：6

共 6 条

[1] SQUARE POWERS OF SINGULARLY PERTURBED OPERATORS [J].

ALBEVERIO, S ;

KARWOWSKI, W ;

KOSHMANENKO, V .

[2]

ALBEVERIO S, 2005, METHODS FUNCT ANAL T, V11, P156

[3]

[Anonymous], 1968, TRANSL MATH MONOGR

[4]

BEREZANSKII Y, 1986, SELF ADJOINT OPERATO

[5]

BOZHOK RV, 2005, UKR MATH J, V57, P622

Koshmanenko, V .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (22) :4999-5009