“Riesz's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Riesz's Theorem

释义

Riesz's Theorem

Every continuous linear functional for can be expressed as a Stieltjes Integral

where

is determined by

and is of bounded variation on

See also Stieltjes Integral

References

Kestelman, H. ``Riesz's Theorem.'' §11.5 in Modern Theories of Integration, 2nd rev. ed. New York: Dover, pp. 265-269, 1960.

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