Abstract
This paper deals with a conjecture posed by Abbas Salemi in 2011 (Banach J. Math. Anal.), claiming that for the spectrum of every bounded linear operator on a separable Hilbert space there exists an estimable total decomposition. We partially solve this problem, in the sense that, for the normal operator, there exists an estimable decomposition, under approximately unitary equivalence.
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Acknowledgements
The authors are grateful to the referees for valuable comments on this paper.
Notes
No potential conflict of interest was reported by the authors.