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pro vyhledávání: '"Roch, Steffen"'
Autor:
Roch, Steffen
Publikováno v:
In Linear Algebra and Its Applications 15 September 2024 697:146-154
Autor:
Roch, Steffen
A power partial isometry (PPI) is an element $v$ of a $C^*$-algebra with the property that every power $v^n$ is a partial isometry. The goal of this paper is to identify the universal $C^*$-algebra generated by a PPI with (a slight modification of) t
Externí odkaz:
http://arxiv.org/abs/1602.00857
Autor:
Roch, Steffen
Every bounded linear operator on a Hilbert space which is invertible modulo compact operators has a closed range and is, thus, generalized invertible. We consider the analogue question in general $C^*$-algebras and describe the closed ideals (called
Externí odkaz:
http://arxiv.org/abs/1601.03546
Autor:
Roch, Steffen
We describe the $C^*$-algebra associated with the finite sections discretization of truncated Toeplitz operators on the model space $K^2_u$ where $u$ is an infinite Blaschke product. As consequences, we get a stability criterion for the finite sectio
Externí odkaz:
http://arxiv.org/abs/1401.5237
Autor:
Roch, Steffen, Silbermann, Bernd
We consider Toeplitz and Hankel operators with piecewise continuous generating functions on $l^p$-spaces and the Banach algebra generated by them. The goal of this paper is to provide a transparent symbol calculus for the Fredholm property and a hand
Externí odkaz:
http://arxiv.org/abs/1112.3140
Autor:
Roch, Steffen
These are the lecture notes for a course at the Summer School on "Applied Analysis" at the Technical University Chemnitz in September 2011. We start with the definition of a fractal algebra and show that the fractal property is enormously useful for
Externí odkaz:
http://arxiv.org/abs/1110.1298
Autor:
Roch, Steffen
The notions of fractal and essentially fractal algebras of approximation sequences and of the Arveson dichotomy have proved extremely useful for several spectral approximation problems. The purpose of this short note is threefold: to present a short
Externí odkaz:
http://arxiv.org/abs/1107.5205
Autor:
Rabinovich, Vladimir S., Roch, Steffen
The main aim of the paper is Fredholm properties of a class of bounded linear operators acting on weighted Lebesgue spaces on an infinite metric graph $\Gamma$ which is periodic with respect to the action of the group ${\mathbb Z}^n$. The operators u
Externí odkaz:
http://arxiv.org/abs/1107.5208
Autor:
Lindner, Marko, Roch, Steffen
This article is about a problem in the numerical analysis of random operators. We study a version of the finite section method for the approximate solution of equations $Ax=b$ in infinitely many variables, where $A$ is a random Jacobi operator. In ot
Externí odkaz:
http://arxiv.org/abs/1011.0907