| 书目名称 | Quaternionic de Branges Spaces and Characteristic Operator Function | | 编辑 | Daniel Alpay,Fabrizio Colombo,Irene Sabadini | | 视频video | | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | .This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) with some specific reproducing kernels, in the unit ball of quaternions or in the half space of quaternions with positive real parts. The spaces under consideration will be Hilbert or Pontryagin or Krein spaces. These spaces are closely related to operator models that are also discussed...The focus of this book is the notion of characteristic operator function of a bounded linear operator A with finite real part, and we address several questions like the study of J-contractive functions, where J is self-adjoint and unitary, and we also treat the inverse problem, namely to characterize which J-contractive functions are characteristic operator functions of an operator. In particular, we prove the counterpart of Potapov‘s factorization theorem in this framework. Besides other topics, we con | | 出版日期 | Book 2020 | | 关键词 | quaternionic analysis; de Branges Rovnyak spaces; characteristic operator functions; quaternionic linea | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-38312-1 | | isbn_softcover | 978-3-030-38311-4 | | isbn_ebook | 978-3-030-38312-1Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 |
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发表于 2025-3-21 17:34:20
