What is recorded here?
Represented every bounded linear functional on continuous functions over a compact interval as a Stieltjes integral against a function of bounded variation.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is Riesz's sole-author 1909 Comptes rendus note and its C[a,b] representation result. Because the original note was not directly inspected, the claim is limited to Riesz's later proofs and retrospective account; it does not absorb the distinct Hilbert-space representation theorem, later measure representations or all of functional analysis.
Read the original work
- Riesz later proof of the linear-functional representation theorem
- Riesz ICM account of linear functional operations
This English explanation is an editorial reading view. It does not replace the complete original work or certify its science.
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People and systems
Frédéric Riesz
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: Hungary
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English catalogue narrative
Riesz: representation of linear functional operations
Represented every bounded linear functional on continuous functions over a compact interval as a Stieltjes integral against a function of bounded variation.
Scientific scope
The record is Riesz's sole-author 1909 Comptes rendus note and its C[a,b] representation result. Because the original note was not directly inspected, the claim is limited to Riesz's later proofs and retrospective account; it does not absorb the distinct Hilbert-space representation theorem, later measure representations or all of functional analysis.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Frédéric Riesz
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.