# Cartesian Products of Family of Real Linear Spaces

Hiroyuki Okazaki; Noboru Endou; Yasunari Shidama

Formalized Mathematics (2011)

- Volume: 19, Issue: 1, page 51-59
- ISSN: 1426-2630

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topHiroyuki Okazaki, Noboru Endou, and Yasunari Shidama. "Cartesian Products of Family of Real Linear Spaces." Formalized Mathematics 19.1 (2011): 51-59. <http://eudml.org/doc/267088>.

@article{HiroyukiOkazaki2011,

abstract = {In this article we introduced the isomorphism mapping between cartesian products of family of linear spaces [4]. Those products had been formalized by two different ways, i.e., the way using the functor [:X, Y:] and ones using the functor "product". By the same way, the isomorphism mapping was defined between Cartesian products of family of linear normed spaces also.},

author = {Hiroyuki Okazaki, Noboru Endou, Yasunari Shidama},

journal = {Formalized Mathematics},

language = {eng},

number = {1},

pages = {51-59},

title = {Cartesian Products of Family of Real Linear Spaces},

url = {http://eudml.org/doc/267088},

volume = {19},

year = {2011},

}

TY - JOUR

AU - Hiroyuki Okazaki

AU - Noboru Endou

AU - Yasunari Shidama

TI - Cartesian Products of Family of Real Linear Spaces

JO - Formalized Mathematics

PY - 2011

VL - 19

IS - 1

SP - 51

EP - 59

AB - In this article we introduced the isomorphism mapping between cartesian products of family of linear spaces [4]. Those products had been formalized by two different ways, i.e., the way using the functor [:X, Y:] and ones using the functor "product". By the same way, the isomorphism mapping was defined between Cartesian products of family of linear normed spaces also.

LA - eng

UR - http://eudml.org/doc/267088

ER -

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## Citations in EuDML Documents

top- Hideki Sakurai, Hiroyuki Okazaki, Yasunari Shidama, Banach’s Continuous Inverse Theorem and Closed Graph Theorem
- Kenichi Arai, Hiroyuki Okazaki, Yasunari Shidama, Isomorphisms of Direct Products of Finite Cyclic Groups
- Yuichi Futa, Noboru Endou, Yasunari Shidama, Isometric Differentiable Functions on Real Normed Space

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