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pro vyhledávání: '"Bryan E. Cain"'
Autor:
Bryan E. Cain
Publikováno v:
Bulletin of the Australian Mathematical Society. 97:293-296
New inequalities relating the norm $n(X)$ and the numerical radius $w(X)$ of invertible bounded linear Hilbert space operators were announced by Hosseini and Omidvar [‘Some inequalities for the numerical radius for Hilbert space operators’, Bull.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f81ddb9b53a54b2d90b5671650ebbdc
https://doi.org/10.1017/s0004972717001046
https://doi.org/10.1017/s0004972717001046
Publikováno v:
Linear and Multilinear Algebra. 56:713-724
We consider (and characterize) mainly classes of (positively) stable complex matrices defined via methods of Gersgorin and Lyapunov. Although the real matrices in most of these classes have already been studied, we sometimes improve upon (and even co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78c77291f38b57991377abd83896faf7
https://doi.org/10.1080/03081080701571182
https://doi.org/10.1080/03081080701571182
Autor:
Bryan E. Cain
Publikováno v:
Linear Algebra and its Applications. 360:191-195
We describe a class of group homomorphisms hi:Xi→Y, with Y abelian, such that the solvability of h1(x1)+⋯+hn(xn)=y can be characterized and the solution set can be completely described. We apply our result to the matrix equation A1X1B1+⋯+AnXnBn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9216416eccef86524510cdadf4464251
https://doi.org/10.1016/s0024-3795(02)00456-1
https://doi.org/10.1016/s0024-3795(02)00456-1
Autor:
Bryan E. Cain
Publikováno v:
Linear Algebra and its Applications. 297:57-61
Let A denote a bounded linear operator on a Hilbert space. We study here those A's for which 1 exceeds the supremum of the spectral radius of the MA for M in three order intervals of Hermitian operators, [−I,I], [0,I] , and the invertible members o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::689e08a6f8c86fc35f9bc60b3acfa9e5
https://doi.org/10.1016/s0024-3795(99)00110-x
https://doi.org/10.1016/s0024-3795(99)00110-x
Publikováno v:
Linear Algebra and its Applications. 268:151-169
Some familiar classes of stable Hilbert-space operators are studied to determine how they overlap and where the unitary similarity classes of their members lie. Analogous, but less familiar, classes of convergent operators are examined with the same
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51399c542ff486a0a6595104f276393e
Publikováno v:
Czechoslovak Mathematical Journal. 47:487-499
Standard facts about separating linear functionals will be used to determine how two cones C and D and their duals C* and D* may overlap. When T: V → W is linear and K ⊂ V and D ⊂ W are cones, these results will be applied to C = T(K) and D, gi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e0422b7523c64e92f188a231c334e43
https://doi.org/10.1023/a:1022463518098
https://doi.org/10.1023/a:1022463518098
Autor:
Bryan E. Cain
Publikováno v:
Linear and Multilinear Algebra. 36:41-45
[2] introduced a decreasing sequence of sets of real n × n matrices, which begins with the D-stable matrices and stops at the sign-stable matrices. It is not clear how many of the n sets in the sequence are distinct. This article documents the disap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5360cd90147b7558e5a2341f123bd4ba
https://doi.org/10.1080/03081089308818273
https://doi.org/10.1080/03081089308818273
Autor:
E. Marques de Sá, Bryan E. Cain
Publikováno v:
Linear and Multilinear Algebra. 31:119-130
Let denote given nonnegative integers, and consider the Hermitian matrices where each Hi =Hi* is ni × ni . We characterize the sets of inertias In each case the possible values of In(H)=(πν*) are characterized by a system of linear inequalities in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cdd2f17c144f7b5692aec5a096150bc
https://doi.org/10.1080/03081089208818128
https://doi.org/10.1080/03081089208818128
Autor:
Bryan E. Cain, Richard J. Tondra
Publikováno v:
Pacific J. Math. 52, no. 2 (1974), 341-345
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa94d4f978c4d7b0251caf1cb964f47d
https://doi.org/10.2140/pjm.1974.52.341
https://doi.org/10.2140/pjm.1974.52.341
Autor:
Bryan E. Cain
Publikováno v:
Canadian Journal of Mathematics. 36:973-985
The results in this paper respond to two rather natural questions about a polar decomposition A = UP, where U is a unitary matrix and P is positive semidefinite. Let λ1, …, λn be the eigenvalues of A. The questions are:(A) When will |λ1|, …, |
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::810c9cf9b9c8cc724e74f83cadd59281
https://doi.org/10.4153/cjm-1984-055-4
https://doi.org/10.4153/cjm-1984-055-4