journal article Dec 01, 1962

Onn-th roots of normal operators

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References
10
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Fuglede, B.:A commutative theorem for normal operators. Proc. Nat. Acad. Sci. U.S.A.36, 35?40 (1950). 10.1073/pnas.36.1.35
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Halmos, P. R.: Commutativity and spectral properties of normal operators. Acta Sci. Math. Szeged12, 153?156 (1950).
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Hille, E.: On roots and logarithms of elements of a complex Banach algebra. Math. Ann.136, 46?57 (1958). 10.1007/bf01350286
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Kurepa, S.: On normaln-th roots of a selfadjoint operator. Glasnik mat. fiz. i astr., Zagreb3, 163?169 (1960).
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Kurepa, S.: A note on logarithms of normal operators; to appear in the Proc. Amer. Math. Soc.
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On square roots of normal operators

C. R. Putnam

Proceedings of the American Mathematical Society 1957 10.1090/s0002-9939-1957-0088698-6
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Rinehart, R. F.: Skew matrices as square roots. Amer. Math. Monthly67, 157?161 (1960). 10.1080/00029890.1960.11989466
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Schur, I.: Über die charakteristischen Wurzeln einer linearen Substitution mit einer Anwendung auf die Theorie der Integralgleichungen. Math. Ann.66, 488?510 (1909). 10.1007/bf01450045
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Stone, M. H.: Linear transformations in Hilbert space. Amer. Math. Soc. Coll. Publ.15 (1932).
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Sz.-Nagy, B.: On uniformly bounded linear transformations in Hilbert space. Acta Sci. Math. Szeged11, 152?157 (1947).
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Published
Dec 01, 1962
Vol/Issue
78(1)
Pages
285-292
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Svetozar Kurepa (1962). Onn-th roots of normal operators. Mathematische Zeitschrift, 78(1), 285-292. https://doi.org/10.1007/bf01195175
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