THEOREMS OF KATZNELSON-TZAFRIRI TYPE FOR CONTRACTIONS

被引：31

作者：

ESTERLE, J

STROUSE, E

ZOUAKIA, F

机构：

[1] MACALESTER COLL,ST PAUL,MN 55105

[2] ECOLE NORMALE SUPER TAKADDOUM,DEPT MATH,RABAT,MOROCCO

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1990年 / 94卷 / 02期

关键词：

D O I：

10.1016/0022-1236(90)90014-C

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For T, a contraction on a Hilbert space, and f{hook}, a function in the disc algebra, we show that, if f{hook} ≡ 0 on SpT ∩ Γ then limn → ∞∥f{hook}(T)Tn∥ = 0. The same method gives a new proof of recent results of Katznelson-Tzafriri. Several applications are given. © 1990.

引用

页码：273 / 287

页数：15

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