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October 16, 2025Open Access

On the quasi-similarity of operators with flag structure

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Authors

XYXie yufangJSJi shanshanJXJing Xu

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Overview

The analysis reveals that quasi-similarity equals similarity in specific operator classes, indicating novel relationships among Fredholm operators.

Key Points

  • Quasi-similarity is shown to imply similarity for many operators in the extended class.
  • This study identifies conditions under which quasi-similarity holds in operator classes involving flags.
  • Operators in the class demonstrate strong irreducibility up to quasi-similarity, enhancing understanding of these structures.
  • Applications include examples of quasi-similarity with multiplication operators in vector-valued Hilbert spaces.

Cite This Study

yufang et al. (2025) studied this question.

synapsesocial.com/papers/68f147cc724575985c3fd2cbhttps://doi.org/10.48550/arxiv.2505.10086
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