Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Poon, Edward"'
We study the problem of calculating noncommutative distances on graphs, using techniques from linear algebra, specifically, Birkhoff-James orthogonality. A complete characterization of the solutions is obtained in the case when the underlying graph i
Externí odkaz:
http://arxiv.org/abs/2409.04146
Let $1 \leq k < n$ be integers. Two $n \times n$ matrices $A$ and $B$ form a parallel pair with respect to the $k$-numerical radius $w_k$ if $w_k(A + \mu B) = w_k(A) + w_k(B)$ for some scalar $\mu$ with $|\mu| = 1$; they form a TEA (triangle equality
Externí odkaz:
http://arxiv.org/abs/2408.16066
Two bounded linear operators $A$ and $B$ are parallel with respect to a norm $\|\cdot\|$ if $\|A+\mu B\| = \|A\| + \|B\|$ for some scalar $\mu$ with $|\mu| = 1$. Characterization is obtained for bijective linear maps sending parallel bounded linear o
Externí odkaz:
http://arxiv.org/abs/2309.14357
Autor:
Poon, Edward
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 June 2024 534(1)
Publikováno v:
In Linear Algebra and Its Applications 15 April 2024 687:68-90
Autor:
Poon, Edward, Woerdeman, Hugo J.
Publikováno v:
Linear Algebra and its Applications, Volume 631, 15 December 2021, Pages 174-180
We characterize under what conditions $n\times n$ Hermitian matrices $A_1$ and $A_2$ have the property that the spectrum of $\cos t A_1 + \sin t A_2$ is independent of $t$ (thus, the trigonometric pencil $\cos t A_1 + \sin t A_2$ is isospectral). One
Externí odkaz:
http://arxiv.org/abs/2103.12885
Which matrix norms induce proper measures for quantifying quantum coherence? We study this problem for two important classes of norms and show that (i) coherence measures cannot be induced by any unitary similarity invariant norm, and (ii) the $\ell_
Externí odkaz:
http://arxiv.org/abs/2008.04362
Autor:
Poon, Edward, Savage, Alistair
Publikováno v:
Involve 11 (2018) 449-461
This paper is the result of a research project completed in the context of the first author's Undergraduate Student Research Award from the Natural Sciences and Engineering Research Council of Canada (NSERC). We prove a nesting phenomenon for twisted
Externí odkaz:
http://arxiv.org/abs/1604.08788
Publikováno v:
In Linear Algebra and Its Applications 15 March 2020 589:222-241
Autor:
Poon, Edward
Publikováno v:
In Linear Algebra and Its Applications 15 February 2020 587:111-142