Pervasive algebras on planar compacts
Čerych, Jan
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 491-494 / Harvested from Czech Digital Mathematics Library
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We characterize compact sets $X$ in the Riemann sphere $\Bbb S$ not separating $\Bbb S$ for which the algebra $A(X)$ of all functions continuous on $\Bbb S$ and holomorphic on $\Bbb S\smallsetminus X$, restricted to the set $X$, is pervasive on $X$.

Publié le : 1999-01-01
Classification:  30E10,  46J10 
@article{119105,
     author = {Jan \v Cerych},
     title = {Pervasive algebras on planar compacts},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {491-494},
     zbl = {1010.46051},
     mrnumber = {1732486},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119105}
}

Čerych, Jan. Pervasive algebras on planar compacts. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 491-494. http://gdmltest.u-ga.fr/item/119105/

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