复Hilbert空间上某个不稠密的稠密轨道

IF 0.3 Q4 MATHEMATICS Concrete Operators Pub Date : 2019-01-01 DOI:10.1515/conop-2019-0005

Neema Wilberth, Marco Mpimbo, Santosh Kumar

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引用次数: 1

摘要

摘要本文给出了复Hilbert空间上的n对算子的存在性，该空间具有某个稠密轨道且不稠密。我们给出了[11]中所述问题的解决方案：“在一个复希尔伯特空间上，有一个不稠密的稠密轨道吗？”我们通过将Feldman[11]和Leån-Saavedra[12]的结果推广到复Hilbert空间来做到这一点。为了支持这一结果，给出了一些稠密轨道的进一步例证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space

Abstract In this paper, we present the existence of n-tuple of operators on complex Hilbert space that has a somewhere dense orbit and is not dense. We give the solution to the question stated in [11]: “Is there n-tuple of operators on a complex Hilbert space that has a somewhere dense orbit that is not dense?” We do so by extending the results due to Feldman [11] and Leòn-Saavedra [12] to complex Hilbert space. Further illustrative examples of somewhere dense orbits are given to support the results.

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