Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Equivalent conditions to the spectral decomposition property for closed operators
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by I. Erdélyi and Sheng Wang Wang
Trans. Amer. Math. Soc. 314 (1989), 171-186
DOI: https://doi.org/10.1090/S0002-9947-1989-0962279-7

Abstract:

The spectral decomposition property has been instrumental in developing a local spectral theory for closed operators acting on a complex Banach space. This paper gives some necessary and sufficient conditions for a closed operator to possess the spectral decomposition property.
References
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Bibliographic Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 314 (1989), 171-186
  • MSC: Primary 47B40; Secondary 47A10, 47A15
  • DOI: https://doi.org/10.1090/S0002-9947-1989-0962279-7
  • MathSciNet review: 962279