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pro vyhledávání: '"Young, Nicholas J."'
A calcular algebra is a subalgebra of $H^\infty(\Omega)$ with norm given by $\| \phi \| = \sup \| \phi(T) \|$ as $T$ ranges over a given class of commutative $d$-tuples of operators with Taylor spectrum in $\O$. We discuss what algebras arise this wa
Externí odkaz:
http://arxiv.org/abs/1906.11959
Autor:
Asarnow, Daniel, Wang, Bei, Lee, Wen-Hsin, Hu, Yuanyu, Huang, Ching-Wen, Faust, Bryan, Ng, Patricia Miang Lon, Ngoh, Eve Zi Xian, Bohn, Markus, Bulkley, David, Pizzorno, Andrés, Ary, Beatrice, Tan, Hwee Ching, Lee, Chia Yin, Minhat, Rabiatul Adawiyah, Terrier, Olivier, Soh, Mun Kuen, Teo, Frannie Jiuyi, Yeap, Yvonne Yee Chin, Seah, Shirley Gek Kheng, Chan, Conrad En Zuo, Connelly, Emily, Young, Nicholas J., Maurer-Stroh, Sebastian, Renia, Laurent, Hanson, Brendon John, Rosa-Calatrava, Manuel, Manglik, Aashish, Cheng, Yifan, Craik, Charles S., Wang, Cheng-I
Publikováno v:
In Cell 10 June 2021 184(12):3192-3204
The set \[ \Gamma {\stackrel{\rm def}{=}} \{(z+w,zw):|z|\leq 1,|w|\leq 1\} \subset {\mathbb{C}}^2 \] has intriguing complex-geometric properties; it has a 3-parameter group of automorphisms, its distinguished boundary is a ruled surface homeomorphic
Externí odkaz:
http://arxiv.org/abs/1502.04216
We generalize the Oka extension theorem, and obtain bounds on the norm of the extension, by using operator theory.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
http://arxiv.org/abs/1111.0661
Publikováno v:
Annals of Mathematics (2) 176 [2012] no. 3, 1783-1826
We prove generalizations of L\"owner's results on matrix monotone functions to several variables. We give a characterization of when a function of $d$ variables is locally monotone on $d$-tuples of commuting self-adjoint $n$-by-$n$ matrices. We prove
Externí odkaz:
http://arxiv.org/abs/1009.3921
If $\ph$ is an analytic function bounded by 1 on the bidisk $\D^2$ and $\tau\in\tb$ is a point at which $\ph$ has an angular gradient $\nabla\ph(\tau)$ then $\nabla\ph(\la) \to \nabla\ph(\tau)$ as $\la\to\tau$ nontangentially in $\D^2$. This is an an
Externí odkaz:
http://arxiv.org/abs/1002.3727
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Akademický článek
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Let $\A$ be the operator which assigns to each $m \times n$ matrix-valued function on the unit circle with entries in $H^\infty + C$ its unique superoptimal approximant in the space of bounded analytic $m \times n$ matrix-valued functions in the open
Externí odkaz:
http://arxiv.org/abs/math/9511214
Autor:
Young, Nicholas J., Metcalfe, Chris, Gunnell, David, Rowlands, Mari-Anne, Lane, J. Athene, Gilbert, Rebecca, Avery, Kerry N. L., Davis, Michael, Neal, David E., Hamdy, Freddie C., Donovan, Jenny, Martin, Richard M., Holly, Jeff M. P.
Publikováno v:
Cancer Causes & Control, 2012 Jun 01. 23(6), 907-917.
Externí odkaz:
https://www.jstor.org/stable/41485262