Constructive techniques in rational approximation

Authors:
T. W. Gamelin and J. Garnett

Journal:
Trans. Amer. Math. Soc. **143** (1969), 187-200

MSC:
Primary 30.70

DOI:
https://doi.org/10.1090/S0002-9947-1969-0249639-4

MathSciNet review:
0249639

Full-text PDF

References | Similar Articles | Additional Information

**[1]**P. R. Ahern and Donald Sarason,*On some hypo-Dirichlet algebras of analytic functions*, Amer. J. Math.**89**(1967), 932–941. MR**0221286**, https://doi.org/10.2307/2373411**[2]**Richard Arens,*The maximal ideals of certain functions algebras*, Pacific J. Math.**8**(1958), 641–648. MR**0117537****[3]**Andrew Browder and John Wermer,*Some algebras of functions on an arc*, J. Math. Mech.**12**(1963), 119–130. MR**0144223****[4]**Philip C. Curtis Jr.,*Peak points for algebras of analytic functions*, J. Functional Analysis**3**(1969), 35–47. MR**0239104****[5]**E. P. Dolženko,*On approximation on closed regions and on null-sets*, Dokl. Akad. Nauk SSSR**143**(1962), 771–774 (Russian). MR**0132834****[6]**J. Dugundji,*An extension of Tietze’s theorem*, Pacific J. Math.**1**(1951), 353–367. MR**0044116****[7]**L. Eifler,*The approximation property for some function algebras*(to appear).**[8]**Stephen Fisher,*Bounded approximation by rational functions*, Pacific J. Math.**28**(1969), 319–326. MR**0240314****[9]**Theodore W. Gamelin,*Uniform algebras*, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1969. MR**0410387****[10]**John Garnett,*On a theorem of Mergelyan*, Pacific J. Math.**26**(1968), 461–467. MR**0233209****[11]**I. Glicksberg,*Dominant representing measures and rational approximation*, Trans. Amer. Math. Soc.**130**(1968), 425–462. MR**0225149**, https://doi.org/10.1090/S0002-9947-1968-0225149-4**[12]**L. A. Rubel and A. L. Shields,*Bounded approximation by polynomials*, Acta Math.**112**(1964), 145–162. MR**0174913**, https://doi.org/10.1007/BF02391768**[13]**A. G. Vituškin,*Analytic capacity of sets in problems of approximation theory*, Uspehi Mat. Nauk**22**(1967), no. 6 (138), 141–199 (Russian). MR**0229838****[14]**John Wermer,*Seminar über Funktionen-Algebren*, Winter-Semester 1963/64. Lecture Notes in Mathematics 1, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1964 (German). MR**0215104****[15]**Lawrence Zalcmann,*Analytic capacity and rational approximation*, Lecture Notes in Mathematics, No. 50, Springer-Verlag, Berlin-New York, 1968. MR**0227434****[16]**-,*Bounded analytic functions on infinitely connected domains*, Trans. Amer. Math. Soc. (to appear).

Retrieve articles in *Transactions of the American Mathematical Society*
with MSC:
30.70

Retrieve articles in all journals with MSC: 30.70

Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1969-0249639-4

Article copyright:
© Copyright 1969
American Mathematical Society