Bounded Hankel Products on the Weighted Bergman Space

1 Introduetion The Bergman spaeeA足15 the spaee of analytie funetions on a plane domain D whieh are square integrable with resPeet to the measure dA。(:)=(a 1)(1一l:I“)“己且(之)，where dA denotes the normalized Lebesgue area measure on D.The reProdueing kernel in A蕊15 given妙K1a)(:) 1 (1一场:)2 a之，叨任D. If(·，·)。denotes the inner produet in LZ(D，dA。)，then (。，K;a))。=人(二) h oA蕊，二。D. The orthogonal projeetion凡of LZ(D，dA。)ontoA且15 given by‘Pa。)(?卜(。，玲，)一…     

算子的本性相似

对作用于一复可分无穷维Hilbet空间(？)上的两个有界线性算子T,S,它 们本性相似和π(T),π(S)(T,S在Calkin代数中的象)相似是否等价？这是有趣的问 题.本文引入一个算子类ES((？)),并证明了对ES((？))中的算子,上面提到的两种相 似性是等价的. 此外,还证明了ES((？))在B((?))中按照算子范数拓扑稠密.     

紧扰动下的谱连通算子是强不可约的 *

回答了D .A .Herrero于1988年提出的一个猜测 :可分复Hilbert空间上每个谱连通算子在紧扰动下是强不可约的 .     

Jordanian Canonical Form Theory in an Infinite Dimensional Operator Algebra

Let B(H) be the algebra of bounded linear operators acting on a separable Hilbert space H. An operator T in B(H) is said to be strongly irreducible (see [1]), denoted by T (SI), if it is not similar to any reducible operator (see [2]). If the dimension of ?i is finite, B(H) may be regarded as an n × n matrix algebra. In this case, T (SI) if and only if T is similar to a Jordanian block. Jordanian canonical form theorem is one of the most important theorems in matrix theory. The Jordan…     

严格循环与强不可约分解

Let W be an injective unilateral weighted shift, and let W(n) be the orthogonal direct sum of n copies of W. In this paper, we prove that, if the commutant of W is strictly cyclic, then W(n) has a unique (SI) decomposition with respect to similarity for every natural number n.     

拟正规算子的Jord标准形

An operator on a Hilbert space is said to have (SI) decomposition if it is similar to the orthogonal direct sum of some (SI) operators. In this paper, we prove that every operator, which is similar to a quasinormal operator, has (SI)decomposition if and only if it is similar to D ( 0≤j相似文献   

套代数中强不可约算子的酉轨道闭包和逼近定理

套代数中强不可约算子的酉轨道闭包和逼近定理@纪友清...