LEADER 02863nam 22005655 450 001 9910853994603321 005 20260220144613.0 010 $a9783031516054 010 $a3031516052 024 7 $a10.1007/978-3-031-51605-4 035 $a(CKB)31252885900041 035 $a(MiAaPQ)EBC31230315 035 $a(Au-PeEL)EBL31230315 035 $a(OCoLC)1428779690 035 $a(DE-He213)978-3-031-51605-4 035 $a(EXLCZ)9931252885900041 100 $a20240325d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Spectral Theory Of Noncommuting Operators /$fby Rongwei Yang 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (277 pages) 225 1 $aMathematics and Statistics Series 311 08$a9783031516047 311 08$a3031516044 327 $a1 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. 330 $aThe main goal of this book is to describe various aspects of the theory of joint spectra for matrices and linear operators. It is suitable for a graduate-level topic course in spectral theory and/or representation theory. The first three chapters can also be adopted for an advanced course in linear algebra. Centered around the concept of projective spectrum, the book presents a coherent treatment of fundamental elements from a wide range of mathematical disciplines, such as complex analysis, complex dynamics, differential geometry, functional analysis, group theory, and Lie algebras. Researchers and students, particularly those who aspire to gain a bigger picture of mathematics, will find this book both informative and resourceful. 410 0$aMathematics and Statistics Series 606 $aFunctional analysis 606 $aFunctional Analysis 606 $aTeoria espectral (Matemātica)$2thub 606 $aOperadors lineals$2thub 608 $aLlibres electrōnics$2thub 615 0$aFunctional analysis. 615 14$aFunctional Analysis. 615 7$aTeoria espectral (Matemātica) 615 7$aOperadors lineals 676 $a515.7246 700 $aYang$b Rongwei$01857590 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910853994603321 996 $aA Spectral Theory of Noncommuting Operators$94458505 997 $aUNINA