References
Anderson, W.N., Jr., Duffin, R.J.: Series and parallel addition of matrices. J. Math. Anal. Appl.26, 576–594 (1969)
Anderson, W.N., Jr., Schreiber, M.: The infimum of two projections. Acta Sci. Math.33, 165–168 (1972)
Anderson, W.N., Jr., Trapp, G.E.: Shorted operators. II. SIAM J. Appl. Math.28, 60–71 (1975)
Bendat, J., Sherman, S.: Monotone and convex operator functions. Trans. Am. Math. Soc.79, 58–71 (1955)
Donoghue, W.: Monotone matrix functions and analytic continuation. Berlin, Heidelberg, New York: Springer 1974
Fujii, J.I.: Arithmetico-geometric mean of operators. Math. Japon23, 667–669 (1979)
Fujii, J.I.: On geometric and harmonic means of operators. Math. Japon24, 203–207 (1979)
Fujii, J.I., Fujii, M.: Some remarks on operator means. Math. Japon24, 335–339 (1979)
Fujii, J.I.: Initial conditions, on operator monotone functions. Math. Japon24, 459–462 (1979)
Kubo, I., Ando, T.: Means of positive linear operators. Math. Ann.246, 205–224 (1980)
Löwner, K.: Über monotone Matrixfunktionen. Math. Z.38, 177–216 (1934)
Nishio, K., Ando, T.: Characterizations of operations derived from network connections. J. Math. Anal. Appl.53, 539–549 (1976)
Pusz, W., Woronowicz, S.L.: Functional calculus for sesquilinear forms and the purification map. Rep. Math. Phys.8, 159–170 (1975)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hansen, F. Selfadjoint means and operator monotone functions. Math. Ann. 256, 29–35 (1981). https://doi.org/10.1007/BF01450940
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01450940