On the structure of C₀-semigroups of holomorphic Carathéodory isometries in Hilbert space

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• 作者：L.L. Stachó ; ^{stacho@math.u-szeged.hu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Strongly continuous one-parameter group ; Holomorphic Carathé ; odory isometry ; Hilbert space ; Dilation
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：445
• 期：1
• 页码：139-150
• 全文大小：391 K

文摘

We establish closed formulas for all strongly continuous one-parameter semigroups of holomorphic Carathéodory isometries of the unit ball of a Hilbert space in terms of spectral resolutions of skew self-adjoint dilations related to the Reich–Shoikhet nonlinear infinitesimal generator.