منابع مشابه
Analytic 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 کاملModularity spectra, eigen-subspaces, and structure of weighted graphs
The role of the normalized modularity matrix in finding homogeneous cuts will be presented. We also discuss the testability of the structural eigenvalues and that of the subspace spanned by the corresponding eigenvectors of this matrix. In the presence of a spectral gap between the k− 1 largest absolute value eigenvalues and the remainder of the spectrum, this in turn implies the testability of...
متن کاملGrothendieck quasitoposes
Article history: Received 28 June 2011 Available online 31 January 2012 Communicated by Michel Van den Bergh
متن کاملCombinatorial Formulae for Grothendieck-demazure and Grothendieck Polynomials
∂if = f− sif xi − xi+1 where si acts on f by transposing xi and xi+1 and let π̃i = ∂i(xi(1− xi+1)f) Then the Grothendieck-Demazure polynomial κα, which is attributed to A. Lascoux and M. P. Schützenberger, is defined as κα = x α1 1 x α2 2 x α3 3 ... if α1 ≥ α2 ≥ α3 ≥ ..., i.e. α is non-increasing, and κα = π̃iκαsi if αi < αi+1, where si acts on α by transposing the indices. Example 2.1. Let α = (...
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: Transactions of the American Mathematical Society
سال: 1973
ISSN: 0002-9947
DOI: 10.2307/1996564