RECURSIVELY GENERATED WEIGHTED SHIFTS AND THE SUBNORMAL COMPLETION PROBLEM .2.

被引：84

作者：

CURTO, RE

FIALKOW, LA

机构：

[1] UNIV IOWA,DEPT MATH,IOWA CITY,IA 52242

[2] SUNY COLL NEW PALTZ,DEPT MATH & COMP SCI,NEW PALTZ,NY 12561

[3] UNIV IOWA,DEPT MATH,IOWA CITY,IA 52242

[4] SUNY COLL NEW PALTZ,DEPT MATH & COMP SCI,NEW PALTZ,NY 12561

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1994年 / 18卷 / 04期

关键词：

D O I：

10.1007/BF01200183

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

Recursively generated weighted shifts are employed to exhibit a large collection of quadratically hyponormal shifts which are not subnormal. This result is reached after analyzing 1-step extensions of recursive subnormal completions generated from three-weight data. The techniques make use of the subnormal completion criterion, and allow us to obtain additional criteria to distinguish between the various classes of k-hyponormal weighted shifts. Applications to bilateral shifts are also included.

引用

页码：369 / 426

页数：58

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[3]

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