Complemented invariant subspaces in Bergman spaces

被引：5

作者：

Korenblum, B ^{[1
]}

Zhu, KH ^{[1
]}

机构：

[1] SUNY Albany, Dept Math, Albany, NY 12222 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2005年 / 71卷

关键词：

D O I：

10.1112/S0024610704006180

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the invariant subspace of the Bergman space A(P) of the unit disk, generated by either an A(P)-interpolating sequence or a singular inner function with a single point mass on the unit circle, is complemented in A(P).

引用

页码：467 / 480

页数：14

共 50 条

[41] COMPLEMENTED SUBSPACES OF PRODUCTS OF HILBERT-SPACES
DOMANSKI, P
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 110 (01) : 187 - 196
[42] ON QUASI-COMPLEMENTED SUBSPACES OF BANACH SPACES
ROSENTHAL, HP
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1968, 59 (02) : 361 - +
[43] On complemented subspaces of sums and products of Banach spaces
Ostrovskii, MI
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (07) : 2005 - 2012
[44] A REMARK ON COMPLEMENTED SUBSPACES OF UNITARY MATRIX SPACES
ARAZY, J
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 79 (04) : 601 - 608
[45] ON TOEPLITZ-INVARIANT SUBSPACES OF THE BERGMAN SPACE
KORENBLUM, B
STESSIN, M
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 111 (01) : 76 - 96
[46] The spectral boundary of complemented invariant subspaces in LP(R)
Buczolich, Z
Olevskii, A
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2001, 131 : 785 - 798
[47] Multiplicator space and complemented subspaces of rearrangement invariant space
Astashkin, SV
Maligranda, L
Semenov, EM
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 202 (01) : 247 - 276
[48] SPECTRAL PROPERTIES OF INVARIANT SUBSPACES IN THE BERGMAN SPACE
HEDENMALM, PJH
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 116 (02) : 441 - 448
[49] Reproducing kernels and invariant subspaces of the Bergman shift
Chailos, G
[J]. JOURNAL OF OPERATOR THEORY, 2004, 51 (01) : 181 - 200
[50] INVARIANT SUBSPACES IN BERGMAN SPACE OVER THE BIDISC
Redett, David
Tung, James
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (07) : 2425 - 2430

← 1 2 3 4 5 →