Tatsuhiro Honda
Abstract
We study the notion of linear invariance on the unit ball of a JB*-triple X, and we obtain some connection between the norm-order of a linear invariant family and the starlikeness of order 1/2. Also, we give some result concerning the radius of univalence of some linear invariant families.
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We study the notion of linear invariance on the unit ball of a JB*-triple X, and we obtain some connection between the norm-order of a linear invariant family and the starlikeness of order 1/2. Also, we give some result concerning the radius of univalence of some linear invariant families.
Key concepts: Mathematics, Invariant (physics), Ball (mathematics), Unit sphere, Pure mathematics, Banach space, Homogeneous, Mathematical analysis