Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Linda J. Patton"'
Publikováno v:
The Electronic Journal of Linear Algebra. 37:504-523
The 4-by-4 nilpotent matrices whose numerical ranges have nonparallel flat portions on their boundary that are on lines equidistant from the origin are characterized. Their numerical ranges are always symmetric about a line through the origin and all
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bac810f9fb03ef7aa0a3c310dca63485
https://doi.org/10.13001/ela.2021.5785
https://doi.org/10.13001/ela.2021.5785
Publikováno v:
Involve 11, no. 5 (2018), 803-826
Numerical ranges of matrices with rotational symmetry are studied. Some cases in which symmetry of the numerical range implies symmetry of the spectrum are described. A parametrized class of [math] matrices [math] such that the numerical range [math]
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82bd49c181bd41f8a38158aadbfc435e
https://doi.org/10.2140/involve.2018.11.803
https://doi.org/10.2140/involve.2018.11.803
Autor:
Linda J. Patton
Publikováno v:
Journal of Mathematical Analysis and Applications. 400:363-376
The composition operators on H 2 ( D ) with minimal polynomial z n − 1 are shown to be block Toeplitz with Toeplitz symbol equal to an n × n matrix-valued polynomial of degree 1. This result is used to prove that the numerical range of a compositi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4fe6bf2bace2ba16badfea45d82c8c9d
https://doi.org/10.1016/j.jmaa.2012.11.057
https://doi.org/10.1016/j.jmaa.2012.11.057
Publikováno v:
Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics ISBN: 9783319491806
In their 2008 paper Gau and Wu conjectured that the numerical range of a 4-by-4 nilpotent matrix has at most two flat portions on its boundary. We prove this conjecture, establishing along the way some additional facts of independent interest. In par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76b5588b316674800993c569b51c8755
https://doi.org/10.1007/978-3-319-49182-0_23
https://doi.org/10.1007/978-3-319-49182-0_23
Autor:
Linda J. Patton, Marian E. Robbins
Publikováno v:
Journal of Mathematical Analysis and Applications. 339:1374-1385
Let φ be any univalent self-map of the unit disk D whose image Ω ≡ φ ( D ) is compactly contained in D . We provide a method for approximating the norm of the composition operator C φ on the Dirichlet space to any desired degree of accuracy. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10bc977261197292b1083389d48aabce
https://doi.org/10.1016/j.jmaa.2007.07.064
https://doi.org/10.1016/j.jmaa.2007.07.064
Autor:
Linda J. Patton, Caixing Gu
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 24:728-746
Let A,B,C, and D be Toeplitz matrices. The main theorem of this paper determines if AB-CD is Toeplitz. This theorem is used to prove a variety of new and previously known algebraic results about Hankel and Toeplitz matrices. For instance, the set of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::561906a5895ca3f5c90d0322b321d0ac
https://doi.org/10.1137/s0895479800377320
https://doi.org/10.1137/s0895479800377320
Autor:
Rebekah B. Johnson Yates, Erin Haller Martin, Linda J. Patton, Kathryn Rasmussen, Louis Deaett, Juan Marin Jr., Ramiro H. Lafuente-Rodriguez
Publikováno v:
The Electronic Journal of Linear Algebra. 26
A subset S of the complex plane has n-fold symmetry about the origin (n-sato) if z 2 S implies e 2� n z 2 S. The 3 × 3 matrices A for which the numerical range W(A) has 3-sato have been characterized in two ways. First, W(A) has 3-sato if and only
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5056029163cb5c272003e127f6fe4ac4
https://doi.org/10.13001/1081-3810.1674
https://doi.org/10.13001/1081-3810.1674
Autor:
Linda J. Patton
Publikováno v:
Complex Variables, Theory and Application: An International Journal. 24:107-119
A necessary and sufficient condition is described for the existence of a function ϕ which is holomorphic and bounded by 1 in a neighborhood of the closed bidisc (D2)-, and which maps n specified points in part D2, the topological boundary of D2, to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77dde575ae3a87d2fac0718a840135bd
https://doi.org/10.1080/17476939408814704
https://doi.org/10.1080/17476939408814704
Autor:
Linda J. Patton, Christopher Hammond
Publikováno v:
Topics in Operator Theory ISBN: 9783034601573
Any analytic self-map of the open unit disk induces a bounded composition operator on the Hardy space H 2 and on the standard weighted Bergman spaces A 2 β. For a particular self-map, it is reasonable to wonder whether there is any meaningful relati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b00ce46389497cfec01f3f70ea1f0830
https://doi.org/10.1007/978-3-0346-0158-0_13
https://doi.org/10.1007/978-3-0346-0158-0_13
Autor:
Linda J. Patton
Publikováno v:
Linear Algebra and its Applications. (1-3):467-484
Some explicit solutions to the 3 × 3 case of Agler's matrix equation for Nevanlinna-Pick interpolation on the bidisc are provided. Agler showed there exists a holomorphic function bounded by 1 on the bidisc D 2 which maps n prescribed points in D 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f259b363a259573c6c0ce9d3cd78fda