Annales Academić Scientiarum Fennicć
Mathematica
Volumen 37, 2012, 595-603

ON DISTINGUISHED POLYNOMIALS AND THEIR PROJECTIONS

Erhan Caliskan and Pilar Rueda

Yildiz Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü
Davutpasa, 34210 Esenler, Istanbul, Turkey; ercalis 'at' yahoo.com.tr

Universidad de Valencia, Departamento de Análisis Matemático
46.100 Burjassot, Valencia, Spain; pilar.rueda 'at' uv.es

Abstract. We study projections and injections between projective tensor products spaces or spaces of polynomials and we show that the example of a polynomial constructed in [4], that is neither p-dominated nor compact, can be identified with the projection map of the symmetric tensor product onto the space. Also we give a characterization of the weak and quasi approximation properties on symmetric tensor products.

2010 Mathematics Subject Classification: Primary 46G20; Secondary 46A32.

Key words: Projective tensor product, dominated polynomial, approximation property.

Reference to this article: E. Caliskan and P. Rueda: On distinguished polynomials and their projections. Ann. Acad. Sci. Fenn. Math. 37 (2012), 595-603.

Full document as PDF file

doi:10.5186/aasfm.2012.3745