A Smooth Holomorphically Convex Disc in C 2 that is not Locally Polynomially Convex

Proceedings of the American Mathematical Society ◽

10.2307/2159747 ◽

1992 ◽

Vol 116 (2) ◽

pp. 411

Author(s):

Franc Forstneric

Keyword(s):

Convex Disc ◽

Polynomially Convex

A smooth holomorphically convex disc in ${\bf C}\sp 2$ that is not locally polynomially convex

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1992-1101982-0 ◽

1992 ◽

Vol 116 (2) ◽

pp. 411-411

Author(s):

Franc Forstnerič

Keyword(s):

Convex Disc ◽

Polynomially Convex

Polynomially convex hulls with piecewise smooth boundaries

Mathematische Annalen ◽

10.1007/bf01450928 ◽

1986 ◽

Vol 276 (1) ◽

pp. 97-104 ◽

Cited By ~ 7

Author(s):

Franc Forstnerič

Keyword(s):

Piecewise Smooth ◽

Convex Hulls ◽

Polynomially Convex

Gaps in Convex Disc Packings with an Application to 1-Steiner Minimum Trees

Monatshefte für Mathematik ◽

10.1007/s006050050072 ◽

2000 ◽

Vol 129 (3) ◽

pp. 217-226 ◽

Cited By ~ 2

Author(s):

Konrad J. Swanepoel

Keyword(s):

Convex Disc

Uniform Approximation on Smooth Polynomially Convex Sets

Complex Approximation - Progress in Mathematics ◽

10.1007/978-1-4612-6115-5_11 ◽

1980 ◽

pp. 83-89 ◽

Cited By ~ 1

Author(s):

Barnet M. Weinstock

Keyword(s):

Uniform Approximation ◽

Convex Sets ◽

Polynomially Convex

Polynomially convex hulls of families of arcs

Studia Mathematica ◽

10.4064/sm165-1-1 ◽

2004 ◽

Vol 165 (1) ◽

pp. 1-17

Author(s):

Zbigniew Słodkowski

Keyword(s):

Convex Hulls ◽

Polynomially Convex

Some General Properties of Polynomially Convex Sets

Polynomial Convexity - Progress in Mathematics ◽

10.1007/978-0-8176-4538-0_2 ◽

2007 ◽

pp. 71-120

Keyword(s):

Convex Sets ◽

General Properties ◽

Polynomially Convex

The topology of rationally and polynomially convex domains

Inventiones mathematicae ◽

10.1007/s00222-014-0511-6 ◽

2014 ◽

Vol 199 (1) ◽

pp. 215-238 ◽

Cited By ~ 4

Author(s):

Kai Cieliebak ◽

Yakov Eliashberg

Keyword(s):

Convex Domains ◽

Polynomially Convex

A new class of polynomially convex sets

Arkiv för matematik ◽

10.1007/bf02384330 ◽

1991 ◽

Vol 29 (1-2) ◽

pp. 51-62 ◽

Cited By ~ 21

Author(s):

F. Forstnerič ◽

E. L. Stout

Keyword(s):

Convex Sets ◽

New Class ◽

Polynomially Convex

Example of a thick polynomially convex compact subset of space ?2, with connected interior, on which not every continuous function analytic at interior points is uniformly approximable by polynomials

Journal of Soviet Mathematics ◽

10.1007/bf01099684 ◽

1974 ◽

Vol 2 (2) ◽

pp. 226-227 ◽

Cited By ~ 1

Author(s):

V. N. Senichkin

Keyword(s):

Continuous Function ◽

Compact Subset ◽

Convex Compact ◽

Convex Compact Subset ◽

Polynomially Convex ◽

Interior Points

A Characterization of Polynomially Convex Sets in Banach Spaces

Results in Mathematics ◽

10.1007/s00025-017-0695-3 ◽

2017 ◽

Vol 72 (4) ◽

pp. 2013-2021

Author(s):

Mortaza Abtahi ◽

Sara Farhangi

Keyword(s):

Banach Spaces ◽

Convex Sets ◽

Polynomially Convex