Finite Dimensional Vector Spaces 作者:Halmos, Paul R. 出版社:Princeton University Press 出版年:1947-1 页数:208 定价:$ 64.98 装帧:Paperback 丛书:Annals of Mathematics Studies ISBN:9780691090955 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单...
He eventually became John von Neumann's research assistant, and it was one of von Neumann's inspiring lectures that spurred Halmos to write Finite Dimensional Vector Spaces. The book brought him instant fame as an expositor of mathematics. Finite Dimensional Vector Spaces combines algebra and ...
[See Halmos (1951, p. 29) for a discussion of dimension for Hilbert spaces.] This creates the problem of developing a theory for general inner product spaces which preserves the more important features of finite-dimensional theory. To extend the above development, for example, the theory ...
Finite-dimensional vector spaces. 来自 World Scientific 喜欢 0 阅读量: 126 作者: PR Halmos 出版社: 世界图书出版公司 摘要: We have defined a vector space to be finite-dimensional if it has a finite spanning set. In this chapter we shall focus our attention on such spaces, although this ...
Every basis for a finite-dimensional vector space has the same number of elements. This number is called the dimension of the space. For inner product spaces of dimension n, it is easily established that any set of n nonzero orthogonal vectors is a basis. This will not be true of all ...
P.R. Halmos proved that for a linear operator A over a finite-dimensional complex vector space E, every A-invariant subspace of E is the range of a commutant of A. His proof was based on a generalization of the concept of eigenvector. In this note, we give an invariant proof of ...
HalmosLinear Algebra and its ApplicationsConway, J. and Halmos, P.R.: Finite dimensional points of continuity of Lat, Lin. Alg. and its Applications 31 (1980), 93–102.J. B. Conway and P. R. Halmos, Finite dimensional points of continuity of Lat, Linear Algebra Appl. 31:93-102 (...