Polynomial hulls and analytic discs

2017 ◽  
Vol 145 (10) ◽  
pp. 4443-4448
Author(s):  
Egmont Porten
Keyword(s):  
Analytic Discs ◽  
Polynomial Hulls

scholarly journals Analytic discs attached to a generating CR-manifold

1995 ◽  
Vol 33 (2) ◽  
pp. 217-248 ◽  
Author(s):  
Miran Černe
Keyword(s):  
Cr Manifold ◽  
Analytic Discs

scholarly journals Directions of Analytic Discs Attached to Generic Manifolds of Finite Type

1994 ◽  
Vol 125 (1) ◽  
pp. 149-171
Author(s):  
M.S. Baouendi ◽  
L.P. Rothschild
Keyword(s):  
Finite Type ◽  
Analytic Discs

Topology of Gleason Parts in Maximal Ideal Spaces with no Analytic Discs

2019 ◽  
pp. 1-18
Author(s):  
Alexander J. Izzo ◽  
Dimitris Papathanasiou
Keyword(s):  
Maximal Ideal ◽  
Uniform Algebra ◽  
Maximal Ideal Space ◽  
Ideal Space ◽  
Regular Space ◽  
Compact Set ◽  
Gleason Part ◽  
Completely Regular ◽  
Analytic Discs ◽  
Compact Subspace

Abstract We strengthen, in various directions, the theorem of Garnett that every $\unicode[STIX]{x1D70E}$ -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 maximal ideal space contains no analytic discs. We show that when the space $X$ is metrizable, the uniform algebra can be chosen so that its maximal ideal space is metrizable as well. We also show that for every locally compact subspace $X$ of a Euclidean space, there is a compact set $K$ in some $\mathbb{C}^{N}$ so that $\widehat{K}\backslash K$ contains a Gleason part homeomorphic to  $X$ , and $\widehat{K}$ contains no analytic discs.

scholarly journals Analytic discs in the maximal ideal space ofM(G)

1978 ◽  
Vol 75 (1) ◽  
pp. 45-57 ◽  
Author(s):  
Gavin Brown ◽  
William Moran
Keyword(s):  
Maximal Ideal ◽  
Maximal Ideal Space ◽  
Ideal Space ◽  
Analytic Discs

scholarly journals Spaces with polynomial hulls that contain no analytic discs

2019 ◽  
Vol 378 (3-4) ◽  
pp. 829-852
Author(s):  
Alexander J. Izzo
Keyword(s):  
Analytic Discs ◽  
Polynomial Hulls
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