IDEAS home Printed from https://ideas.repec.org/a/wly/jijmms/v2025y2025i1n3294145.html

The Property (EA) and Local Spectral Theory

Author

Listed:
  • Elvis Aponte
  • Lourival Lima
  • José Sanabria

Abstract

In this paper, we introduce and study the spectral property (EA). This property means that the difference between the approximate point spectrum and the upper semi‐Fredholm spectrum coincides with the difference between the approximate point spectrum and the upper semi‐Weyl spectrum. Together with local spectral theory, we explore the behavior of this property under certain topological conditions and derive characterizations for the operators that verify it. Furthermore, we establish sufficient conditions that guarantee that a bounded linear operator verifies the property (EA).

Suggested Citation

  • Elvis Aponte & Lourival Lima & José Sanabria, 2025. "The Property (EA) and Local Spectral Theory," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jijmms:v:2025:y:2025:i:1:n:3294145
    DOI: 10.1155/ijmm/3294145
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/ijmm/3294145
    Download Restriction: no
    File URL: https://libkey.io/10.1155/ijmm/3294145?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Elvis Aponte & José Sanabria & Luis Vásquez, 2021. "Perturbation Theory for Property ( V E ) and Tensor Product," Mathematics, MDPI, vol. 9(21), pages 1-12, November.
    2. Pietro Aiena, 2004. "Fredholm and Local Spectral Theory, with Applications to Multipliers," Springer Books, Springer, number 978-1-4020-2525-9, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Qingping Zeng & Huaijie Zhong, 2012. "A Note on Property (gb) and Perturbations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jijmms:v:2025:y:2025:i:1:n:3294145. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/6396 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.