复Hilbert空间上某个不稠密的稠密轨道

IF 0.3 Q4 MATHEMATICS
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。
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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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
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