具有布朗酉扩张的算子

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-07-26 DOI:10.37193/cjm.2022.03.08

Laurian Suciu

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引用次数: 2

摘要

研究了复Hilbert空间$\h$上的某些有界线性算子$T$，它们在另一个空间$\ka\supset\h$具有2-等距提升$S$。我们还提到了一种更特殊的升力类型，以及那些额外满足条件$S^*S\h\subet\h$的升力。此外，我们描述了$T$的其他类型的扩张，它们接近于2-等距。在这些算子中，我们提到了扩张（凹）算子，也提到了布朗酉扩张。得到了这类算子的不同矩阵表示，其中矩阵项涉及压缩算子。

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Operators with Brownian unitary dilations

Certain bounded linear operators $T$ on a complex Hilbert space $\h$ which have 2-isometric liftings $S$ on another space $\ka \supset \h$ are being investigated. We refer also to a more special type of liftings, as well as to those which additionally meet the condition $S^*S\h \subset \h$. Furthermore we describe other types of dilations for $T$, which are close to 2-isometries. Among these we refer to expansive (concave) operators and also to Brownian unitary dilations. Different matrix representations for such operators are obtained, where matrix entries involve contractive operators.

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.