An extension of the Heinz-Kato theorem

Furuta, Takayuki

doi:10.1090/S0002-9939-1994-1169027-6

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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An extension of the Heinz-Kato theorem
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by Takayuki Furuta PDF

Proc. Amer. Math. Soc. 120 (1994), 785-787 Request permission

Abstract:

An extension of the Heinz-Kato theorem is given.

References

Erhard Heinz, Beiträge zur Störungstheorie der Spektralzerlegung, Math. Ann. 123 (1951), 415–438 (German). MR 44747, DOI 10.1007/BF02054965
Tosio Kato, Notes on some inequalities for linear operators, Math. Ann. 125 (1952), 208–212. MR 53390, DOI 10.1007/BF01343117
Karl Löwner, Über monotone Matrixfunktionen, Math. Z. 38 (1934), no. 1, 177–216 (German). MR 1545446, DOI 10.1007/BF01170633
Gert K. Pedersen, Some operator monotone functions, Proc. Amer. Math. Soc. 36 (1972), 309–310. MR 306957, DOI 10.1090/S0002-9939-1972-0306957-4