Some properties of the tensor product of Schwartz εb-spaces.

Belmesnaoui Aqzzouz; M. Hassan el Alj; Redouane Nouira

RACSAM (2007)

  • Volume: 101, Issue: 1, page 33-42
  • ISSN: 1578-7303

Abstract

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We define the ε-product of an εb-space by quotient bornological spaces and we show that if G is a Schwartz εb-space and E|F is a quotient bornological space, then their εc-product Gεc(E|F) defined in [2] is isomorphic to the quotient bornological space (GεE)|(GεF).

How to cite

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Aqzzouz, Belmesnaoui, Hassan el Alj, M., and Nouira, Redouane. "Some properties of the tensor product of Schwartz εb-spaces.." RACSAM 101.1 (2007): 33-42. <http://eudml.org/doc/41659>.

@article{Aqzzouz2007,
abstract = {We define the ε-product of an εb-space by quotient bornological spaces and we show that if G is a Schwartz εb-space and E|F is a quotient bornological space, then their εc-product Gεc(E|F) defined in [2] is isomorphic to the quotient bornological space (GεE)|(GεF).},
author = {Aqzzouz, Belmesnaoui, Hassan el Alj, M., Nouira, Redouane},
journal = {RACSAM},
keywords = {-product; quotient bornological space; Schwartz space; -space},
language = {eng},
number = {1},
pages = {33-42},
title = {Some properties of the tensor product of Schwartz εb-spaces.},
url = {http://eudml.org/doc/41659},
volume = {101},
year = {2007},
}

TY - JOUR
AU - Aqzzouz, Belmesnaoui
AU - Hassan el Alj, M.
AU - Nouira, Redouane
TI - Some properties of the tensor product of Schwartz εb-spaces.
JO - RACSAM
PY - 2007
VL - 101
IS - 1
SP - 33
EP - 42
AB - We define the ε-product of an εb-space by quotient bornological spaces and we show that if G is a Schwartz εb-space and E|F is a quotient bornological space, then their εc-product Gεc(E|F) defined in [2] is isomorphic to the quotient bornological space (GεE)|(GεF).
LA - eng
KW - -product; quotient bornological space; Schwartz space; -space
UR - http://eudml.org/doc/41659
ER -

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