Invariant subspaces of a direct sum of weighted shifts
نویسندگان
چکیده
منابع مشابه
On a Direct Algorithm for Computing Invariant Subspaces With. . .
[13] V. Mehrmann, A Symplectic orthogonal method for single input or single output discrete time optimal control problems, in Linear Algebra in Signals Systems and Control, B. N. Datta et al eds. SIAM Philadelphia, Penn. pp.128-140(1988). [14] K. C. Ng and B. N. Parlett, Development of an accurate algorithm for EXP(Bt), Part I, Programs to swap diagonal block, Part II, CPAM-294, University of C...
متن کاملAnalytic Continuation and Embeddings in Weighted Backward Shift Invariant Subspaces
By a famous result, functions in backward shift invariant subspaces in Hardy spaces are characterized by the fact that they admit a pseudocontinuation a.e. on T. More can be said if the spectrum of the associated inner function has holes on T. Then the functions of the invariant subspaces even extend analytically through these holes. We will discuss the situation in weighted backward shift inva...
متن کاملFactorizations and Invariant Subspaces for Weighted Schur Classes
We study factorizations of operator valued functions of weighted Schur classes over multiply-connected domains. There is a correspondence between functions from weighted Schur classes and so-called “conservative curved” systems introduced in the paper. We show that the fundamental relationship between invariant subspaces of the main operator of a conservative system and factorizations of the co...
متن کاملPerturbation of invariant subspaces ∗
We consider two different theoretical approaches for the problem of the perturbation of invariant subspaces. The first approach belongs to the standard theory. In that approach the bounds for the norm of the perturbation of the projector are proportional to the norm of perturbation matrix, and inversely proportional to the distance between the corresponding eigenvalues and the rest of the spect...
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: Pacific Journal of Mathematics
سال: 1968
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1968.27.587