02863nam 22005655 450 991085399460332120260220144613.09783031516054303151605210.1007/978-3-031-51605-4(CKB)31252885900041(MiAaPQ)EBC31230315(Au-PeEL)EBL31230315(OCoLC)1428779690(DE-He213)978-3-031-51605-4(EXLCZ)993125288590004120240325d2024 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierA Spectral Theory Of Noncommuting Operators /by Rongwei Yang1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (277 pages)Mathematics and Statistics Series9783031516047 3031516044 1 Characteristic Polynomial in Several Variables -- 2 Finite Dimensional Group Representations -- 3 Finite Dimensional Lie Algebras -- 4 Projective Spectrum in Banach Algebras -- 5 The C⇤-algebra of the Infinite Dihedral Group -- 6 The Maurer-Cartan Form of Operator Pencils -- 7 Hermitian Metrics on the Resolvent Set -- 8 Compact Operators and Kernel Bundles -- 9 Weak Containment and Amenability -- 10 Self-similarity and Julia Sets -- References.The main goal of this book is to describe various aspects of the theory of joint spectra for matrices and linear operators. It is suitable for a graduate-level topic course in spectral theory and/or representation theory. The first three chapters can also be adopted for an advanced course in linear algebra. Centered around the concept of projective spectrum, the book presents a coherent treatment of fundamental elements from a wide range of mathematical disciplines, such as complex analysis, complex dynamics, differential geometry, functional analysis, group theory, and Lie algebras. Researchers and students, particularly those who aspire to gain a bigger picture of mathematics, will find this book both informative and resourceful.Mathematics and Statistics SeriesFunctional analysisFunctional AnalysisTeoria espectral (Matemàtica)thubOperadors linealsthubLlibres electrònicsthubFunctional analysis.Functional Analysis.Teoria espectral (Matemàtica)Operadors lineals515.7246Yang Rongwei1857590MiAaPQMiAaPQMiAaPQBOOK9910853994603321A Spectral Theory of Noncommuting Operators4458505UNINA