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On Linearly Topological Structure and Orthogonality of Menger Probabilistic Inner Product Spaces
Received:June 03, 1998
Key Words
:
Propbabilistic inner product space
linear topology
convergence
orthogo- nal projection.
Fund Project
:
Supported by the Natural Science Foundation of the Education Committee of Jiangsu Province
Author Name
Affiliation
XIAO Jian-zhong
Dept. of Math.
Yancheng Teachers′ College
Jiangsu
China
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Abstract
:
In this paper the linearly topological structure of Menger Probabilistic inner product space is discussed. In virtue of these, some more general convergence theorems, Pythagorean theorem, and the orthogonal projective theorem are established.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2001.03.008
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