Exterior products of operators and superoptimal analytic approximation
نویسندگان
چکیده
We give a new algorithm for the construction of unique superoptimal analytic approximant given continuous matrix-valued function on unit circle, making use exterior powers operators in preference to spectral or {\em Wiener-Masani} factorizations.
منابع مشابه
Optimal and superoptimal matrix algebra operators
We study the optimal and superoptimal Frobenius operators in a general matrix vector space and in particular in the multilevel trigonometric matrix vector spaces, by emphasizing both the algebraic and geometric properties. These general results are used to extend the Korovkin matrix theory for the approximation of block Toeplitz matrices via trigonometric vector spaces. The abstract theory is t...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولAnalytic approximation of transmutation operators and related systems of functions
In [27] a method for approximate solution of Sturm-Liouville equations and related spectral problems was presented based on the construction of the Delsarte transmutation operators. The problem of numerical approximation of solutions and eigendata was reduced to approximation of a primitive of the potential by a finite linear combination of certain specially constructed functions obtained from ...
متن کاملPolynomial operators for spectral approximation of piecewise analytic functions
We construct a sequence of globally defined polynomial valued operators, using linear combinations of either the coefficients in the orthogonal polynomial expansion of the target function with respect to a very general mass distribution μ or the values of the function at suitable points on [−1, 1], so that the degree of approximation by these operators globally is commensurate with the degree o...
متن کاملThe Sums and Products of Commuting AC-Operators
Abstract: In this paper, we exhibit new conditions for the sum of two commuting AC-operators to be again an AC-operator. In particular, this is satisfied on Hilbert space when one of them is a scalar-type spectral operator.
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 London Mathematical Society
سال: 2021
ISSN: ['2052-4986']
DOI: https://doi.org/10.1112/tlm3.12035