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

Noboru Endou

Gifu National College of Technology

Takashi Mitsuishi

Miyagi University

Yasunari Shidama

Shinshu University, Nagano
Summary.

In this article we introduce three subjects in real unitary space:
parallelism of subsets, orthogonality of subsets and topology of the space.
In particular, to introduce the topology of real unitary space, we discuss
the metric topology which is induced by the inner product in the space.
As the result, we are able to discuss some topological subjects on real
unitary space.
MML Identifier:
RUSUB_5
The terminology and notation used in this paper have been
introduced in the following articles
[8]
[12]
[1]
[4]
[5]
[11]
[10]
[9]
[6]
[7]
[3]
[2]

Parallelism of Subspaces

Orthogonality

Topology of Real Unitary Space
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Received October 25, 2002
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