Zobrazeno 1 - 10
of 139
pro vyhledávání: '"Pamela Gorkin"'
Autor:
Andrew Shaffer, Pamela Gorkin
Publikováno v:
Mathematics Magazine. 94:53-58
We are all familiar with the following method for constructing an ellipse: Fix two points, f1 and f2, called the foci of the ellipse. Put a thumbtack at f1 and another at f2, and tie a piece of str...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e280f41500830b68bf556dda090df255
https://doi.org/10.1080/0025570x.2021.1849923
https://doi.org/10.1080/0025570x.2021.1849923
Autor:
Pamela Gorkin, Brett D. Wick
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 7:170-182
In this paper we consider interpolation in model spaces, $H^2 \ominus B H^2$ with $B$ a Blaschke product. We study unions of interpolating sequences for two sequences that are far from each other in the pseudohyperbolic metric as well as two sequence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8e6fb78185116a971902524f1c6c545a
https://doi.org/10.1090/bproc/59
https://doi.org/10.1090/bproc/59
Autor:
Kelly Bickel, Elias Wegert, Felix L. Schwenninger, Thomas Ransford, Pamela Gorkin, Anne Greenbaum
Publikováno v:
Computational Methods and Function Theory, 20(3-4), 701-728. Springer
In this paper, we establish several results related to Crouzeix's conjecture. We show that the conjecture holds for contractions with eigenvalues that are sufficiently well-separated. This separation is measured by the so-called separation constant,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76bf230ad9334407850d1a0c3666bc7e
https://doi.org/10.1007/s40315-020-00350-9
https://doi.org/10.1007/s40315-020-00350-9
Autor:
Kelly Bickel, Pamela Gorkin
Publikováno v:
Complex Analysis and Spectral Theory. :241-261
The numerical range of a bounded, linear operator on a Hilbert space is a set in $\mathbb{C}$ that encodes important information about the operator. In this survey paper, we first consider numerical ranges of matrices and discuss several connections
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0e976013a415b43daec0db75be86cbe
https://doi.org/10.1090/conm/743/14964
https://doi.org/10.1090/conm/743/14964
Autor:
Jonathan R. Partington, Pamela Gorkin
Publikováno v:
Computational Methods and Function Theory. 19:487-508
This paper gives a new approach to the calculation of the numerical radius of a restricted shift operator by linking it to the norm of a truncated Toeplitz operator (TTO), which can be be calculated by various methods. Further results on the norm of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::27e4125b375505ec0233ebe230d3f0c3
https://doi.org/10.1007/s40315-019-00282-z
https://doi.org/10.1007/s40315-019-00282-z
Autor:
Pamela Gorkin
Publikováno v:
The American Mathematical Monthly. 126:99-111
We consider several seemingly unrelated theorems, each with the word ellipse in the statement: Siebeck’s theorem, the elliptical range theorem, Poncelet’s theorem, and the Blaschke ellipse theorem....
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4e9fe6bb41d232fb1c738a0065e6ce8
https://doi.org/10.1080/00029890.2019.1537459
https://doi.org/10.1080/00029890.2019.1537459
Publikováno v:
Handbook of the Mathematics of the Arts and Sciences ISBN: 9783319570716
Handbook of the Mathematics of the Arts and Sciences ISBN: 9783319706580
Handbook of the Mathematics of the Arts and Sciences ISBN: 9783319706580
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4cda77357208549bb7afc54940972179
https://doi.org/10.1007/978-3-319-57072-3_88
https://doi.org/10.1007/978-3-319-57072-3_88
Autor:
Pamela Gorkin, Gregory T. Adams
Publikováno v:
Journal of Functional Analysis. 281:109110
In this paper, we consider smooth, closed, strictly convex curves contained inside the unit circle T and their associated curves of geodesic centers (or dual curves). We obtain a formula for the boundary and envelope of the union of the region bounde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b12d5753d60cca3241d430a70703f60
https://doi.org/10.1016/j.jfa.2021.109110
https://doi.org/10.1016/j.jfa.2021.109110
Publikováno v:
The Mathematical Intelligencer. 39:9-17
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a915fa4507cff60d35becacb804b10c6
https://doi.org/10.1007/s00283-017-9724-z
https://doi.org/10.1007/s00283-017-9724-z