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- W1977051982 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. Finally, if the dimension of X is finite and if the norm-order of a linear invariant family is finite, then we prove the normality of the linear invariant family and we also obtain upper bounds on the distortion and the growth of mappings in a linear invariant family with specified norm-order. In particular, our results are valid for the classical Cartan domains and the unit polydisc." @default.
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- W1977051982 date "2012-01-01" @default.
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- W1977051982 title "Linear invariance of locally biholomorphic mappings in the unit ball of a <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi mathvariant=normal>J</mml:mi><mml:mi mathvariant=normal>B</mml:mi></mml:mrow><mml:mo>⁎</mml:mo></mml:msup></mml:math>-triple" @default.
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- W1977051982 doi "https://doi.org/10.1016/j.jmaa.2011.06.055" @default.
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