On holomorphically similar matrices
نویسندگان
چکیده
منابع مشابه
Matrices similar on a Zariski - open set
1. Introduction ,(1.1) Let A, B be n x n matrices whose elements are functions holomorphic in a connected open subset V of the complex plane. The matrices A, Bare called pointwise similar on V if for each XE V there exists a non-singular n x n matrix C x with complex elements such that B(x) = C;;l A (x) Cx' They are holomorphically similar on V if there exists a matrix C of functions holomorphi...
متن کاملT"-Aetions on Holomorphically Separable Complex Manifolds*
Here we consider complex manifolds M which are holomorphically separable, i.e., the global holomorphic functions (9 (M) separate the points of M. We investigate T n (n-torus) actions on M, where T"={(ei~ ei~ 0eN"}, and n is the complex dimension of M. We assume that the action is effective, i.e., if 0ET ~ is nonzero, then there exists z e M with O.z+z. Our final assumption on the action is one ...
متن کاملOn Compact Holomorphically Pseudosymmetric Kählerian Manifolds
For compact Kählerian manifolds, the holomorphic pseudosymmetry reduces to the local symmetry if additionally the scalar curvature is constant and the structure function is non-negative. Similarly, the holomorphic Ricci-pseudosymmetry reduces to the Ricci-symmetry under these additional assumptions. We construct examples of non-compact essentially holomorphically pseudosymmetric Kählerian manif...
متن کاملAnti-holomorphically Reversible Holomorphic Maps That Are Not Holomorphically Reversible
Theorem 1.1. There exists a holomorphic map σ of C of the form ξ → λξ + O(2), η → λη + O(2), with λ not a root of unity and |λ| = 1, such that σ is reversible by an antiholomorphic involution and by a formal holomorphic involution, and is however not reversible by any C-smooth involution of which the linear part is holomorphic. In particular, the σ is not reversible by any holomorphic involution.
متن کاملMatrices Similar to Partial Isometries
We determine when a matrix is similar to a partial isometry, refining a result of Halmos–McLaughlin.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1962
ISSN: 0022-247X
DOI: 10.1016/0022-247x(62)90050-1