# Complexifications of real Banach spaces, polynomials and multilinear maps

Gustavo Muñoz; Yannis Sarantopoulos; Andrew Tonge

Studia Mathematica (1999)

- Volume: 134, Issue: 1, page 1-33
- ISSN: 0039-3223

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topMuñoz, Gustavo, Sarantopoulos, Yannis, and Tonge, Andrew. "Complexifications of real Banach spaces, polynomials and multilinear maps." Studia Mathematica 134.1 (1999): 1-33. <http://eudml.org/doc/216620>.

@article{Muñoz1999,

abstract = {We give a unified treatment of procedures for complexifying real Banach spaces. These include several approaches used in the past. We obtain best possible results for comparison of the norms of real polynomials and multilinear mappings with the norms of their complex extensions. These estimates provide generalizations and show sharpness of previously obtained inequalities.},

author = {Muñoz, Gustavo, Sarantopoulos, Yannis, Tonge, Andrew},

journal = {Studia Mathematica},

keywords = {complexification of Banach space; polynomial in Banach space; Chebyshev polynomial},

language = {eng},

number = {1},

pages = {1-33},

title = {Complexifications of real Banach spaces, polynomials and multilinear maps},

url = {http://eudml.org/doc/216620},

volume = {134},

year = {1999},

}

TY - JOUR

AU - Muñoz, Gustavo

AU - Sarantopoulos, Yannis

AU - Tonge, Andrew

TI - Complexifications of real Banach spaces, polynomials and multilinear maps

JO - Studia Mathematica

PY - 1999

VL - 134

IS - 1

SP - 1

EP - 33

AB - We give a unified treatment of procedures for complexifying real Banach spaces. These include several approaches used in the past. We obtain best possible results for comparison of the norms of real polynomials and multilinear mappings with the norms of their complex extensions. These estimates provide generalizations and show sharpness of previously obtained inequalities.

LA - eng

KW - complexification of Banach space; polynomial in Banach space; Chebyshev polynomial

UR - http://eudml.org/doc/216620

ER -

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