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On the product of semi-groups of operators

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Trotter, H. F.·1959·Proceedings of the American Mathematical Society

DOI 10.1090/s0002-9939-1959-0108732-6

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Functional Analysis and Semi-groups
Hille, E., & Phillips, R. (1996) · Colloquium Publications - American Mathematical Society/Colloquium Publications · doi:10.1090/coll/031 · Cited by 4,047
Approximation of semi-groups of operators
Trotter, H. F. (1958) · Pacific Journal of Mathematics · doi:10.2140/pjm.1958.8.887 · Cited by 459
Self-citation
On the Generation of Unbounded Semi-Groups of Bounded Linear Operators
Feller, W. (1953) · Annals of Mathematics · doi:10.2307/1969826 · Cited by 62
Groups Of Positive Operators
Dye, H. A., & Phillips, R. S. (1956) · Canadian Journal of Mathematics · doi:10.4153/cjm-1956-055-1 · Cited by 4

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Authors: Trotter, H. F.
Corresponding author: Trotter, H. F.
Venue: Proceedings of the American Mathematical Society
Publisher: American Mathematical Society (AMS)
Published: 1959-08
Volume: 10
Issue: 4
Pages: 545-551
ISSN: 0002-9939 (ISSN-L)
1088-6826
DOI: 10.1090/s0002-9939-1959-0108732-6
OpenAlex: W1997126380
Cited by: 2,282
References: 4
Citations by year: 2026: 114 · 2025: 175 · 2024: 147 · 2023: 150 · 2022: 124 · 2021: 102 · 2020: 98 · 2019: 97 · 2018: 90 · 2017: 67 · 2016: 71 · 2015: 55 · 2014: 71 · 2013: 50 · 2012: 46
FWCI: 0.00
Type: journal article
Language: en
Open access: bronze
doi.org
Locations: Proceedings of the American Mathematical Society (publishedVersion)
Topics: Physical Sciences › Mathematics › Mathematical Physics › Advanced Banach Space Theory
Physical Sciences › Mathematics › Applied Mathematics › Holomorphic and Operator Theory
Physical Sciences › Mathematics › Mathematical Physics › Advanced Operator Algebra Research
Keywords: operator semigroups

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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

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On the product of semi-groups of operators

Overview

Integrity signals

Verification

Claims the paper makes

Claims other papers make about this one

Self-check

Citations

Cites

Cited by

Related

Metadata

Record

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