Geodesic
On an estimate for the norm of a function of a quasihermitian operator
Studia Mathematica, Tome 103 (1992) no. 1, pp. 17-24

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Let A be a closed linear operator acting in a separable Hilbert space. Denote by co(A) the closed convex hull of the spectrum of A. An estimate for the norm of f(A) is obtained under the following conditions: f is a holomorphic function in a neighbourhood of co(A), and for some integer p the operator $A^p - (A*)^p$ is Hilbert-Schmidt. The estimate improves one by I. Gelfand and G. Shilov.
DOI : 10.4064/sm-103-1-17-24
Keywords: functions of linear operators, estimation of norms

M. I. Gil 1

1 
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M. I. Gil. On an estimate for the norm of a function of a quasihermitian operator. Studia Mathematica, Tome 103 (1992) no. 1, pp. 17-24. doi: 10.4064/sm-103-1-17-24

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