Complexification of the projective and injective tensor products

Gusti van Zyl

Studia Mathematica (2008)

  • Volume: 189, Issue: 2, page 105-112
  • ISSN: 0039-3223

Abstract

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We show that the Taylor (resp. Bochnak) complexification of the injective (projective) tensor product of any two real Banach spaces is isometrically isomorphic to the injective (projective) tensor product of the Taylor (Bochnak) complexifications of the two spaces.

How to cite

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Gusti van Zyl. "Complexification of the projective and injective tensor products." Studia Mathematica 189.2 (2008): 105-112. <http://eudml.org/doc/284438>.

@article{GustivanZyl2008,
abstract = {We show that the Taylor (resp. Bochnak) complexification of the injective (projective) tensor product of any two real Banach spaces is isometrically isomorphic to the injective (projective) tensor product of the Taylor (Bochnak) complexifications of the two spaces.},
author = {Gusti van Zyl},
journal = {Studia Mathematica},
keywords = {complexification; projective tensor product; injective tensor product},
language = {eng},
number = {2},
pages = {105-112},
title = {Complexification of the projective and injective tensor products},
url = {http://eudml.org/doc/284438},
volume = {189},
year = {2008},
}

TY - JOUR
AU - Gusti van Zyl
TI - Complexification of the projective and injective tensor products
JO - Studia Mathematica
PY - 2008
VL - 189
IS - 2
SP - 105
EP - 112
AB - We show that the Taylor (resp. Bochnak) complexification of the injective (projective) tensor product of any two real Banach spaces is isometrically isomorphic to the injective (projective) tensor product of the Taylor (Bochnak) complexifications of the two spaces.
LA - eng
KW - complexification; projective tensor product; injective tensor product
UR - http://eudml.org/doc/284438
ER -

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