Journal of Formalized Mathematics
Volume 15, 2003
University of Bialystok
Copyright (c) 2003 Association of Mizar Users

Hilbert Space of Real Sequences


Noboru Endou
Gifu National College of Technology
Yasumasa Suzuki
Take, Yokosuka-shi, Japan
Yasunari Shidama
Shinshu University, Nagano

Summary.

A continuation of [17]. As the example of real unitary spaces, we introduce the arithmetic addition and multiplication in the set of square sum able real sequences and introduce the scaler products also. This set has the structure of the Hilbert space.

MML Identifier: RSSPACE2

The terminology and notation used in this paper have been introduced in the following articles [15] [18] [4] [1] [16] [6] [19] [2] [3] [17] [10] [11] [12] [13] [9] [7] [8] [14] [5]

Contents (PDF format)

  1. Hilbert Space of Real Sequences
  2. Miscellaneous

Bibliography

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Received April 3, 2003

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