Computation of antieigenvalues. (English) Zbl 1090.47038

Seddighin, Morteza

Int. J. Math. Math. Sci. 2005, No. 5, 815-821 (2005).

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 \(T\).

Reviewer: Rodica Luca (Iaşi)

MSC:

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

Keywords:

strictly accretive operator; antieigenvalue; hyponormal operator; seminormal operator