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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Spectral and Fredholm properties of operators in elementary nest algebras
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by Bruce A. Barnes and Jon M. Clauss PDF
Trans. Amer. Math. Soc. 347 (1995), 1735-1741 Request permission


Some spectral and Fredholm properties are proved for linear operators which leave invariant certain nests of closed subspaces.
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  • Jon M. Clauss, Elementary chains of invariant subspaces of a Banach space, Canad. J. Math. 47 (1995), no. 2, 290–301. MR 1335079, DOI 10.4153/CJM-1995-015-9
  • J. Ringrose, Compact non-self-adjoint operators, Van Nostrand Reinhold, London, 1971.
  • Martin Schechter, Principles of functional analysis, Academic Press, New York-London, 1971. MR 0445263
  • Allen L. Shields, Weighted shift operators and analytic function theory, Topics in operator theory, Math. Surveys, No. 13, Amer. Math. Soc., Providence, R.I., 1974, pp. 49–128. MR 0361899
  • Angus Ellis Taylor and David C. Lay, Introduction to functional analysis, 2nd ed., John Wiley & Sons, New York-Chichester-Brisbane, 1980. MR 564653
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 347 (1995), 1735-1741
  • MSC: Primary 47D30; Secondary 47A10, 47A15, 47A53
  • DOI:
  • MathSciNet review: 1285973