Journal of Formalized Mathematics
Volume 14, 2002
University of Bialystok
Copyright (c) 2002
Association of Mizar Users
Subspaces and Cosets of Subspace of Real Unitary Space

Noboru Endou

Gifu National College of Technology

Takashi Mitsuishi

Miyagi University

Yasunari Shidama

Shinshu University, Nagano
Summary.

In this article, subspace and the coset of subspace of real unitary space
are defined. And we discuss some of their fundamental properties.
MML Identifier:
RUSUB_1
The terminology and notation used in this paper have been
introduced in the following articles
[6]
[3]
[11]
[8]
[7]
[1]
[12]
[2]
[5]
[10]
[9]
[4]

Definition and Axioms of the Subspace of Real Unitary Space

Definition of Zero Subspace and Improper Subspace of Real Unitary Space

Theorems of Zero Subspace and Improper Subspace

The Cosets of Subspace of Real Unitary Space

Theorems of the Cosets
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Received October 9, 2002
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