An introduction to polynomials on Banach spaces.

Richard Aron

Displaying similar documents to “An introduction to polynomials on Banach spaces.”

Polynomials and geometry of Banach spaces.

Joaquín M. Gutiérrez, Jesús A. Jaramillo, José G. Llavona (1995)

Extracta Mathematicae

Similarity:

In this paper we survey a large part of the results on polynomials on Banach spaces that have been obtained in recent years. We mainly look at how the polynomials behave in connection with certain geometric properties of the spaces.

The bidual of the space of polynomials on a Banach space.

J. A. Jaramillo, A. Prieto, I. Zalduendo (1994)

Extracta Mathematicae

Similarity:

Unconditionally convergent polynomials in Banach spaces and related properties.

M.ª Teresa Fernández Unzueta (1997)

Extracta Mathematicae

Similarity:

Our aim is to introduce a new notion of unconditionallity, in the context of polynomials in Banach spaces, that looks directly to the polynomial topology defined on the involved spaces. This notion allows us to generalize some well-known relations of duality that appear in the linear context.

Separating polynomials on Banach spaces.

R. Gonzalo, J. A. Jaramillo (1997)

Extracta Mathematicae

Similarity:

In this paper we survey some recent results concerning separating polynomials on real Banach spaces. By this we mean a polynomial which separates the origin from the unit sphere of the space, thus providing an analog of the separating quadratic form on Hilbert space.