Titlebook: Dynamical Systems Generated by Linear Maps; ?emal B. Doli?anin,Anatolij B. Antonevich Book 2014Latest edition Springer International Publi

dyspareunia

overbearing

The Jordan Basis and Special SubspacesIn this chapter Jordan basis and subspaces related to it will be discussed as well as various Jordan cells and basis vectors which play a different role at accidental numeration of separated basis vectors. The theory of subspace related with linear operators has been disposed.

breadth

Proponent

CUR

The Action of a Linear Map on the Grassmann ManifoldThe set of subspaces of a given vector space forms the Grassmann manifold, a linear non-singular operator . induces a homeomorphism . of the Grassmann manifold. Let us find the explicit form or this map.

aggravate

The Exterior Algebra and SubspacesOne of the approaches toward investigation of the Grassmann manifolds is based on an embedding of . into a projective space of large dimension, since this can be used to apply results on the action of a linear operator on a projective space. This embedding is achieved with the help of the Grassmann algebra.

ASSET

The Algebraic Approach to the Study of Subspace TrajectoryThe algebraic approach is based on the previously established relations between a .-dimensional subspace . and the corresponding .-vector .

Corral

obnoxious

易于出錯

The Subtle Spectral PropertiesAlong with the description of the spectrum of the operator ., i.e., obtaining conditions of invertibility of operators of the form ., some more subtle properties of operators . are interesting in the case when . belongs to the spectrum.