读到这个水平的文献还需要翻译成汉语,很难进步提高的,不论是语言还是内容!近代数学的一部分,从这一段看,只能用英法来读读,汉字的,对不起,还没到这个级别呢!希望明白,进步。那几个好像都是网译的,其中有Hilbertian space。这几位都是大牌数学家:Hilbert, 其1900年的23个明题,名题,瞧瞧汉字这个麻烦,写都写不对,大都解决了,Goldbach Conjecture还有一百万悬在那里呢!Kronecker, 对公理系统axiomatics有大贡献而且,资料没超出80年代,有点太太太老了!进步。用英文帮你点忙吧,等等: Notes and Further Readings.The basic identity in Lemma (4.3.1) seems to have appeared first in W. E. Roth, On Direct Product Matrices, Bulletin of American Mathematical Society. 40 (1934), 461-468; it has been rediscovered many times since.The characterization of a linear derivation as a commutator with a fixed matrix given in Theorem (4.3.4) has an extension to the infinite-dimensional case; see J. Dixmeier,Les Algebres d’Operateurs dans l’Espace Hilbertien, 2nd ed., Gauthier-Villars, Paris, 1969, pp-310-312.The Jordan canonical form of a Kronecker product (4.3.17) has an interesting history going back to its discovery and first attempts at proofs by Aitken and Roth in 1934, See R. Brualdi, Combinatorial Verification of the Elementary Divisors of Tensor Products, Linear Algebra Applications. 71(1985), 31-47, for a modern proof, historical discussion, and references.One finds many different names in the literature for the permutation matrix with the basic properties described in Theorem (4.3.8) and Corollary (4.3.10), for example, vec-permutation matrix, elementary operator, permutation matrix, shuffle matrix, permuted identity matrix, unibersal flip matrix, and commutation matrix.For a discussion of the history of this matrix, many identities, and 63 references to the literature, see H. V. Henderson and S. R. Searle, The Vec-Permutation Matrix, the Vec Operator and Kronecker Products: A Review, Linear Multilinear Algebra 9 (1981), 271-288.这样看着好多了。有些我认为根本就没有汉字的。再祝你进步,一定要学好英文,达到能自己白话出来,就可以到国外大学,要是资料能上来的话,直接用英语讲矩阵同向量了!