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pro vyhledávání: '"Augat, P"'
A realization is a triple, $(A,b,c)$, consisting of a $d-$tuple, $A= (A =_1, \cdots, A_d )$, $d\in \mathbb{N}$, of bounded linear operators on a separable, complex Hilbert space, $\mathcal{H}$, and vectors $b,c \in \mathcal{H}$. Any such realization
Externí odkaz:
http://arxiv.org/abs/2404.16675
Motivated by recent work on optimal approximation by polynomials in the unit disk, we consider the following noncommutative approximation problem: for a polynomial $f$ in $d$ freely noncommuting arguments, find a free polynomial $p_n$, of degree at m
Externí odkaz:
http://arxiv.org/abs/2209.10373
Autor:
Klaus Widhalm, Lukas Maul, Sebastian Durstberger, Peter Putz, Sebastian Leder-Berg, Hans Kainz, Peter Augat
Publikováno v:
JMIR Research Protocols, Vol 13, p e59755 (2024)
BackgroundOsteoarthritis of the hip joint is an increasing functional and health-related problem. The most common surgical treatment is hip replacement to reduce pain and improve function. Rehabilitation after total hip arthroplasty (THA) is not regu
Externí odkaz:
https://doaj.org/article/259d1b5f86d74adfad901d9eda597af6
Publikováno v:
In Journal of Biomechanics July 2024 172
Autor:
Aaron Nauth, MD, Justin Haller, MD, Peter Augat, PhD, Donald D. Anderson, PhD, Michael D. McKee, MD, David Shearer, MD, Richard Jenkinson, MD, Hans-Christoph Pape, MD
Publikováno v:
OTA International, Vol 7, Iss 2S (2024)
Abstract. Distal femur fractures are challenging injuries to manage, and complication rates remain high. This article summarizes the international and basic science perspectives regarding distal femoral fractures that were presented at the 2022 Ortho
Externí odkaz:
https://doaj.org/article/f539d299094249649fd1049e80f4b535
Autor:
Augat, Meric, McCarthy, John E.
We establish a theory of NC functions on a class of von Neumann algebras with a particular direct sum property, e.g. $B(\mathcal{H})$. In contrast to the theory's origins, we do not rely on appealing to results from the matricial case. We prove that
Externí odkaz:
http://arxiv.org/abs/2107.13079
Autor:
Katharina Trenkwalder, Sandra Erichsen, Ferdinand Weisemann, Peter Augat, Matthias Militz, Christian von Rüden, Tobias Hentschel, SAND Research Group, Simon Hackl
Publikováno v:
Journal of Orthopaedics and Traumatology, Vol 24, Iss 1, Pp 1-12 (2023)
Abstract Background Septic and aseptic nonunion require different therapeutic strategies. However, differential diagnosis is challenging, as low-grade infections and biofilm-bound bacteria often remain undetected. Therefore, the examination of biofil
Externí odkaz:
https://doaj.org/article/4c2cfb8df1ed489f8bd8df3a0f1fbbbe
We provide an effective single-matrix criterion, in terms of what we call the elementary Pick matrix, for the solvability of the noncommutative Nevanlinna-Pick interpolation problem in the row ball, and provide some applications. In particular we sho
Externí odkaz:
http://arxiv.org/abs/2005.07556
Autor:
Augat, Meric L.
This article establishes free versions of two classical theorems: derivatives are curl-free and every curl-free vector field (on a simply connected domain) is a derivative. We show that the derivative of a noncommutative free analytic map must be fre
Externí odkaz:
http://arxiv.org/abs/2005.01850
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