COMPACT OPERATORS OF THE FORM UC-PHI

被引：42

作者：

KAMOWITZ, H

机构：

[1] University Of Massachusetts/Boston, Dorchester, MA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1979年 / 80卷 / 01期

关键词：

D O I：

10.2140/pjm.1979.80.205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If A is the disc algebra, the uniform algebra of functions analytic on the open unit disc D and continuous on its closure, and if u,φ∈A with ‖φ‖ ≦ 1, then the operator uCφ is defined on A by uCφ: F(z) → u(z)f(φ(z)). In this note we characterize compact operators of this form and determine their spectra. © 1979 by Pacific Journal of Mathematics.

引用

页码：205 / 211

页数：7

共 7 条

[1] SPECTRA OF COMPACT COMPOSITION OPERATORS [J].

CAUGHRAN, JG ;

SCHWARTZ, HJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 51 (01) :127-130

[2]

Denjoy M. A., 1926, CR HEBD ACAD SCI, V182, P255

[3]

KAMOWITZ H, 1978, INDIANA U MATH J, V27, P851

[4]

SCHWARTZ HJ, 1969, THESIS U TOLEDO

[5] COMPACT, NUCLEAR, AND HILBERT-SCHMIDT COMPOSITION OPERATORS ON H2 [J].

SHAPIRO, JH ;

TAYLOR, PD .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1973, 23 (06) :471-496

[6]

Wolff J., 1926, CR HEBD ACAD SCI, V182, P42

[7]

WOLFF J., 1926, CR HEBD ACAD SCI, V182, P200

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