摘要: In this paper, we compute upper and lower bounds for products of multiplication operator and Hausdorff matrix on block weighted sequence spaces.关键词: Matrix operator norm quasi-summability matrix weighted mean matrix Hilbert matrix weighted sequence space ...
Correlated random matrixoperator normpolynomially decaying metric correlation structureLAWWe consider a correlated N x N Hermitian random matrix with a polynomially decaying metric correlation structure. By calculating the trace of the moments of the matrix and using the summable decay of the cumulants, ...
A lower bound is found for the operator norm of the product of two infinite block operator matrices on Hilbert space which depends only on the norms of submatrices of these operators. The methodology of the paper is to study sequence-valued functions on certain families of finite sets (the ba...
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Equation (14) holds for all Schatten norms, but of particular interest for our purposes is the Hilbert–Schmidt norm, p = 2, from which we can derive certifiable error bounds on the average-case error. In addition, the operator norm, p = ∞, quantifies the worst-case error an...
The Poincaré theta operator maps the space of holomorphic functions with period one onto the space of cusp forms for a finitely generated Fuchsian group. It is easy to show that the norm of the operator does not exceed one. In the case of the classical modular group and weight six, it ...
Relational databases became the norm, and SQL became the language used to access them and modify them. GUI client development initially shifted to procedural languages like C and Pascal, then, with the advent of object-orientation came C++ and Delphi. Languages such as Perl and Python became ...
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