ON THE PROBABILISTIC INNER PRODUCT SPACES

Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (11): 1035-1042.

ON THE PROBABILISTIC INNER PRODUCT SPACES

张石生

Department of Mathematics, Sichuan University, Chengdu

收稿日期:1985-09-18 出版日期:1986-11-18 发布日期:1986-11-18
基金资助:
Projects Supported by the Science Fund of the Chinese Academy of Sciences

ON THE PROBABILISTIC INNER PRODUCT SPACES

Zhang Shi-sheng

Department of Mathematics, Sichuan University, Chengdu

Received:1985-09-18 Online:1986-11-18 Published:1986-11-18
Supported by:
Projects Supported by the Science Fund of the Chinese Academy of Sciences

摘要/Abstract

摘要： In this paper a new definition for probabilistic inner product spaces is given. By virtue of this definition, some convergence theorems, Schwarz inequality and the orthogonal concept for probabilistic inner product spaces are established and introduced. Moreover, the relationship between this kind of spaces and probabilistic normed spaces is considered also.

关键词: nonholonomic constraint, instability, potential, dissipative force

Abstract: In this paper a new definition for probabilistic inner product spaces is given. By virtue of this definition, some convergence theorems, Schwarz inequality and the orthogonal concept for probabilistic inner product spaces are established and introduced. Moreover, the relationship between this kind of spaces and probabilistic normed spaces is considered also.

Key words: nonholonomic constraint, instability, potential, dissipative force

张石生. ON THE PROBABILISTIC INNER PRODUCT SPACES[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(11): 1035-1042.

Zhang Shi-sheng. ON THE PROBABILISTIC INNER PRODUCT SPACES[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(11): 1035-1042.

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ON THE PROBABILISTIC INNER PRODUCT SPACES

ON THE PROBABILISTIC INNER PRODUCT SPACES

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