Zobrazeno 1 - 10
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pro vyhledávání: '"Alexander J. Izzo"'
Autor:
Timothy G. Clos, Alexander J. Izzo
Publikováno v:
Rocky Mountain Journal of Mathematics. 52
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b731a72ca1c45a4083dd0bbfd430a497
https://doi.org/10.1216/rmj.2022.52.1289
https://doi.org/10.1216/rmj.2022.52.1289
Autor:
Alexander J. Izzo
Publikováno v:
Proceedings of the American Mathematical Society. 147:5195-5207
It is shown that no purely topological condition implies the equality of the polynomial and rational hulls of a set: For any compact subset $K$ of a Euclidean space, there exists a set $X$, in some ${\mathbb C}^N$, that is homeomorphic to $K$ and is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::080b5246b0fbebe9c9270879609fb4eb
https://doi.org/10.1090/proc/14628
https://doi.org/10.1090/proc/14628
Autor:
Alexander J. Izzo
Publikováno v:
Proceedings of the American Mathematical Society. 147:1519-1529
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bfb1c7118f974802e34b242f34e1d2ed
https://doi.org/10.1090/proc/14311
https://doi.org/10.1090/proc/14311
Autor:
Alexander J. Izzo, Edgar Lee Stout
We prove that every polynomially convex arc is contained in a polynomially convex simple closed curve. We also establish results about polynomial hulls of arcs and curves that are locally rectifiable outside a polynomially convex subset.
The exp
The exp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df3b6a8384841f26ec33ecec5058eee8
http://arxiv.org/abs/2103.17214
http://arxiv.org/abs/2103.17214
Autor:
Joel Feinstein, Alexander J. Izzo
A general method for constructing essential uniform algebras with prescribed properties is presented. Using the method, the following examples are constructed: an essential, natural, regular uniform algebra on the closed unit disc; an essential, natu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa54cb11e2f0ad8c86eff2b606002bc8
https://nottingham-repository.worktribe.com/file/904473/1/essential-alg-IMPAN-format.pdf
https://nottingham-repository.worktribe.com/file/904473/1/essential-alg-IMPAN-format.pdf
Autor:
Alexander J. Izzo
It is shown that there exist arcs and simple closed curves in C 3 \mathbb {C}^3 with nontrivial polynomial hulls that contain no analytic discs. It is also shown that in any bounded, connected Runge domain of holomorphy in C N \mathbb {C}^N ( N ≥ 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c59fcc963c7abd7bade17ed1e68e764
We strengthen, in various directions, the theorem of Garnett that every $\sigma$-compact, completely regular space $X$ occurs as a Gleason part for some uniform algebra. In particular, we show that the uniform algebra can always be chosen so that its
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79874cd8768b256b66975a521c57ebc8
Autor:
Alexander J. Izzo
Publikováno v:
MATHEMATICA SCANDINAVICA. 120:317-319
A simple proof of the existence of Haar measure on amenable groups is given.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::854932f200aea26c17325c2583affe7e
https://doi.org/10.7146/math.scand.a-25626
https://doi.org/10.7146/math.scand.a-25626
Autor:
Alexander J. Izzo
Extensions of the notions of polynomially and rationally convex hulls are introduced. Using these notions, a generalization of a result of Duval and Levenberg on polynomially convex hulls containing no analytic discs is presented. As a consequence it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43645579e5e68aa051a6627c49d81340
http://arxiv.org/abs/1801.02252
http://arxiv.org/abs/1801.02252
Autor:
Alexander J. Izzo
Publikováno v:
Transactions of the American Mathematical Society. 367:231-250
For a broad class of spaces X X , we show that C ( X ) C(X) is the only uniform algebra on X X that is invariant under every self-homeomorphism of X X . This class of spaces contains the manifolds-with-boundary and the finite simplicial complexes. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c690b400bbfd89dd234b389951a5dd5e
https://doi.org/10.1090/s0002-9947-2014-06023-6
https://doi.org/10.1090/s0002-9947-2014-06023-6