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Titlebook: Operator and Norm Inequalities and Related Topics; Richard M. Aron,Mohammad Sal Moslehian,Hugo J. Woe Book 2022 The Editor(s) (if applicab

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書目名稱Operator and Norm Inequalities and Related Topics
編輯Richard M. Aron,Mohammad Sal Moslehian,Hugo J. Woe
視頻videohttp://file.papertrans.cn/703/702355/702355.mp4
概述Includes contributions by a number of the world‘s leading specialists in functional analysis and operator theory.Presents some of the latest developments in operator theory.Introduces several active r
叢書名稱Trends in Mathematics
圖書封面Titlebook: Operator and Norm Inequalities and Related Topics; Richard M. Aron,Mohammad Sal Moslehian,Hugo J. Woe Book 2022 The Editor(s) (if applicab
描述Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in recent decades..Some chapters are devoted to giving a series of new characterizations of operator monotone functions and some others explore inequalities connected to log-majorization, relative operator entropy, and the Ando-Hiai inequality. Several chapters are focused on Birkhoff–James orthogonality and approximate orthogonality in Banach spaces and operator algebras such as C*-algebras from historical perspectives to current development..A comprehensive account of the boundedness, compactness, and restrictions of Toeplitz operators can be found in the book. Furthermore, an overview of the Bishop-Phelps-Bollobás theorem is provided. The state-of-the-art of Hardy-Littlewood inequalities in sequence spaces is given.?.The chapters are written in a reader-friendly style and can be read independe
出版日期Book 2022
關(guān)鍵詞Operator Inequality; Norm Inequality; Toeplitz Operator; Vector Lattice; Operator Mean; Burkholder-Davis-
版次1
doihttps://doi.org/10.1007/978-3-031-02104-6
isbn_softcover978-3-031-02106-0
isbn_ebook978-3-031-02104-6Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Perspectives, Means and their Inequalitiesnd its limits. On the other hand, an operator mean can be regarded as a two-variable functional calculus for positive operators. In this chapter, we study the operator perspective and its extensions including operator means and the Pusz–Woronowicz functional calculus. We also discuss about the related operator inequalities.
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Matrix Inequalities and Characterizations of Operator Monotone FunctionsIn this chapter, we give a series of new characterizations of operator monotone functions using matrix inequalities involving different Kubo-Ando matrix means. We also use a trace monotonicity inequality and the Powers-St?rmer inequality to characterize operator monotone functions.
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Normal Operators and their GeneralizationsIn this chapter we study the spectral properties of some classes of operators which generalize normal operators on Hilbert spaces. In particular, we consider for these operators some aspects of local spectral theory and Fredholm theory.
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978-3-031-02106-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Operator and Norm Inequalities and Related Topics978-3-031-02104-6Series ISSN 2297-0215 Series E-ISSN 2297-024X
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Trends in Mathematicshttp://image.papertrans.cn/o/image/702355.jpg
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