TENSOR PRODUCTS, MULTIPLICATIONS AND WEYL'S THEOREM

被引：5

作者：

Aiena, P. ^{[1
]}

Duggal, B. P. ^{[1
]}

机构：

[1] Univ Palermo, Fac Ingn, Dipartimento Metodi & Modelli Matemat, Viale Sci, I-90128 Palermo, Italy

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2005年 / 54卷 / 03期

关键词：

Banach space; tensor product; multiplications; polaroid operator; single valued extension property; Weyl's theorem;

D O I：

10.1007/BF02874946

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Tensor products Z = T-1 circle times T-2 and multiplications Z = L-T1 R-T2 do not inherit Weyl's theorem from Weyl's theorem for T-1 and T-2. Also, Weyl's theorem does not transfer from Z to Z*. We prove that if T-i, i = 1, 2, has SVEP (= the single- valued extension property) at points in the complement of the Weyl spectrum sigma(w)(T-i) of T-i, and if the operators Ti are Kato type at the isolated points of sigma(Ti), then Z and Z* satisfy Weyl's theorem.

引用

页码：387 / 395

页数：9

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