Eeg332 发表于 2025-3-23 11:47:22
Semigroups of Nonnegative Matrices,ill also be applied to questions of ordinary reducibility. A substantial part of the chapter is devoted to extensions to semigroups of the Perron-Frobenius Theorem on the existence of positive eigenvectors for nonnegative matrices and symmetries of their spectra (Corollary 5.2.13 below).不整齐 发表于 2025-3-23 17:31:45
Compact Operators and Invariant Subspaces,proofs). We give the definition of compactness of an operator and prove the Fredholm alternative. Hilden’s simple proof of Lomonosov’s Theorem that compact operators have hyperinvariant subspaces is presented.现代 发表于 2025-3-23 19:49:18
Semigroups of Compact Operators, we can show that the norm closure of R+S contains a finite-rank operator other than zero. This often allows us to reduce the given question to the case of operators on a finite-dimensional space and then to use the results of the first five chapters. One important case, in which finite-rank operatoengagement 发表于 2025-3-23 23:25:34
http://reply.papertrans.cn/87/8678/867755/867755_14.pnglipoatrophy 发表于 2025-3-24 02:29:05
http://reply.papertrans.cn/87/8678/867755/867755_15.pngSuggestions 发表于 2025-3-24 09:16:28
Semigroups of Compact Operators,se of operators on a finite-dimensional space and then to use the results of the first five chapters. One important case, in which finite-rank operators are conspicuously absent, is treated in the first section of this chapter, where we establish Turovskii’s Theorem that a semigroup of compact quasinilpotent operators is triangularizable.qDefiance 发表于 2025-3-24 13:16:56
http://reply.papertrans.cn/87/8678/867755/867755_17.pngaptitude 发表于 2025-3-24 18:48:08
http://reply.papertrans.cn/87/8678/867755/867755_18.png爱哭 发表于 2025-3-24 20:33:24
http://reply.papertrans.cn/87/8678/867755/867755_19.pngTemporal-Lobe 发表于 2025-3-25 02:00:33
http://reply.papertrans.cn/87/8678/867755/867755_20.png