4.4 Article

On Local Spectral Properties of Extended Hamilton Operators

Journal

FILOMAT
Volume 36, Issue 11, Pages 3675-3678

Publisher

UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL2211675B

Keywords

Extended Hamilton operators; local spectral property; Weyl type theorem

Funding

  1. National Natural Science Foundation of China [11761029, 11962025]
  2. Natural Science Foundation of Inner Mongolia Autonomous Region [2021BS01009]
  3. Research Program of Sciences at Universities of Inner Mongolia Autonomous Region [NJZZ20014]
  4. Subject of Research Foundation of Inner Mongolia Normal University of China [2019YJRC050]
  5. Fundamental Research Funds for the Inner Mongolia Normal University [2022JBQN075]

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This paper focuses on the local spectral properties of Extended Hamilton operators and their adjoint operators, and explores the relationship between these properties.
This paper deals with local spectral properties of Extended Hamilton operators and their adjoint operators. The relationship between the local spectral properties (strongly decomposability, hyperinvariant subspace problem, etc.) of Extended Hamilton operators and the corresponding properties of their adjoint operators is obtained.

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