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Computation of antieigenvalues. (English) Zbl 1090.47038

Using several results due to M. G. Krein (1969), P. R. Halmos (1982) and G. De Barra (1981) and the Lagrange multiplier method, the author establishes some formulas for the first antieigenvalue \[ \mu_1(T)=\displaystyle\text{inf}_{Tf\not=0}\displaystyle\frac{\text{Re}(Tf,f)}{\| Tf\| \| f\| } \] of a strictly accretive operator \(T\).

MSC:

47H06 Nonlinear accretive operators, dissipative operators, etc.
47B44 Linear accretive operators, dissipative operators, etc.
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