Complexifications of real Banach spaces, polynomials and multilinear maps

Gustavo Muñoz; Yannis Sarantopoulos; Andrew Tonge

Displaying similar documents to “Complexifications of real Banach spaces, polynomials and multilinear maps”

Quadratic Mean Radius of a Polynomial in C(Z)

Ivanov, K., Sharma, A. (1996)

Serdica Mathematical Journal

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* Dedicated to the memory of Prof. N. Obreshkoff A Schoenberg conjecture connecting quadratic mean radii of a polynomial and its derivative is verified for some kinds of polynomials, including fourth degree ones.

Power-dominated elements in a Banach algebra

G. Allan, T. Ransford (1989)

Studia Mathematica

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On a positive sine sum

Stamatis Koumandos (1996)

Colloquium Mathematicae

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On a class of harmonic polynomials

Protter, M.H. (1951)

Portugaliae mathematica

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Some multiplier theorems on the sphere.

R. O. Gandulfo, G. Gigante (2000)

Collectanea Mathematica

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The n-dimensional sphere, E, can be seen as the quotient between the group of rotations of R n+1 and the subgroup of all the rotations that fix one point. Using representation theory, one can see that any operator on Lp (Sigma n) that commutes with the action of the group of rotations (called multiplier) may be associated with a sequence of complex numbers. We prove that, if a certain discrete derivative of a given sequence represents a bounded multiplier on LP (E 1), then the given...