Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Man-Duen Choi"'
Autor:
Man-Duen Choi, Pei Yuan Wu
Publikováno v:
Advances in Operator Theory. 5:768-778
We obtain some necessary or sufficient conditions for an operator on a complex separable Hilbert space to be expressible as a product of two normal operators. For example, it is shown that if T is such a product, then $$\dim \ker T \ge \dim \ (\ker T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f4380639f53f2bc8ba1f7b6f2b16699b
https://doi.org/10.1007/s43036-020-00046-w
https://doi.org/10.1007/s43036-020-00046-w
Autor:
Gilles Pisier, Dan Voiculescu, Rita Brickman Effros, Claude Schochet, Jonathan Rosenberg, Jerry Kaminker, Man-Duen Choi, Palle E. T. Jorgensen, Masamichi Takesaki, Fred Shultz, Zhong-Jin Ruan, Sorin Popa, Dimitri Shlyakhtenko, Robert T. Powers, Marius Dadarlat
Publikováno v:
Notices of the American Mathematical Society. 67:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4f464d0539e9cdad65b1d184404ad3a
https://doi.org/10.1090/noti2169
https://doi.org/10.1090/noti2169
Autor:
Pei Yuan Wu, Man-Duen Choi
Publikováno v:
Journal of Functional Analysis. 267:384-404
In this paper, we consider the problem of characterizing Hilbert space operators which are expressible as a sum of (finitely many) orthogonal projections. We obtain a special operator matrix representation and some necessary/sufficient conditions for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::228618722078198cfbe3dd03ad6f23a0
https://doi.org/10.1016/j.jfa.2014.05.003
https://doi.org/10.1016/j.jfa.2014.05.003
Autor:
Schochet, Claude, Masamichi Takesaki, Effros, Rita Brickman, Shlyakhtenko, Dimitri, Popa, Sorin, Rosenberg, Jonathan, Zhong-Jin Ruan, Dadarlat, Marius, Man-Duen Choi, Voiculescu, Dan, Kaminker, Jerry, Shultz, Fred, Pisier, Gilles, Powers, Robert
Publikováno v:
Notices of the American Mathematical Society; Nov2020, Vol. 67 Issue 10, p1573-1587, 15p
Autor:
Karol Życzkowski, Piotr Gawron, Man-Duen Choi, Zbigniew Puchała, Łukasz Skowronek, Jarosław Adam Miszczak
Publikováno v:
Linear Algebra and its Applications. 434:327-342
We study operators acting on a tensor product Hilbert space and investigate their product numerical range, product numerical radius and separable numerical range. Concrete bounds for the product numerical range for Hermitian operators are derived. Pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f36690c04e47b87aa48ce56b9ae4e527
https://doi.org/10.1016/j.laa.2010.08.026
https://doi.org/10.1016/j.laa.2010.08.026
Autor:
Chi-Kwong Li, Man-Duen Choi
Publikováno v:
Journal of Mathematical Analysis and Applications. 365:458-466
The numerical range W ( A ) of a bounded linear operator A on a Hilbert space is the collection of complex numbers of the form ( A v , v ) with v ranging over the unit vectors in the Hilbert space. In terms of the location of W ( A ) , inclusion regi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c713b74eeb03874ab3fe8c9fb5e645b
https://doi.org/10.1016/j.jmaa.2009.10.066
https://doi.org/10.1016/j.jmaa.2009.10.066
Autor:
Frederic Latremoliere, Man-Duen Choi
Publikováno v:
Canadian Mathematical Bulletin. 53:37-50
We describe the representation theory of C*-crossed-products of a unital C*-algebra A by the cyclic group of order 2. We prove that there are two main types of irreducible representations for the crossed-product: those whose restriction to A is irred
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc2d12a461e6d0418af5a77accf46cbe
https://doi.org/10.4153/cmb-2010-008-4
https://doi.org/10.4153/cmb-2010-008-4
Autor:
Man-Duen Choi, Rajendra Bhatia
Publikováno v:
Proceedings of the Indian Academy of Sciences - Section A. 116:393-399
To Kalyan Sinha on his sixtieth birthday Abstract. We study various conditions on matrices B and C under which they can be the off-diagonal blocks of a partitioned normal matrix.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::184c754b2cfc404d4d573cc5bb761ca3
https://doi.org/10.1007/bf02829697
https://doi.org/10.1007/bf02829697
Publikováno v:
Linear Algebra and its Applications. 418(2-3):828-839
We consider higher-rank versions of the standard numerical range for matrices. A central motivation for this investigation comes from quantum error correction. We develop the basic structure theory for the higher-rank numerical ranges, and give a com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f2f87ed260e4c33dc9fe45f65ee73af
Publikováno v:
Reports on Mathematical Physics. 58:77-91
We solve the fundamental quantum error correction problem for bi-unitary channels on two-qubit Hilbert space. By solving an algebraic compression problem, we construct qubit codes for such channels on arbitrary dimension Hilbert space, and identify c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fbf7bd57804cc219b1aed1eb07f21b2
https://doi.org/10.1016/s0034-4877(06)80041-8
https://doi.org/10.1016/s0034-4877(06)80041-8