Compact Convex Sets and Boundary Integrals
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GPT-models based on such spaces are considered classical.
“The GPT-models based on such spaces are considered as classical (Alfsen, 1971, Theorem II.4.3).”
From Coupling quantum-like cognition with the neuronal networks within generalized probability theory (2025) · cites this paper as Alfsen, 1971
Cited by
Sorted by citations
Majorization, doubly stochastic matrices, and comparison of eigenvalues
Ando, T. (1989) · Linear Algebra and its Applications · doi:10.1016/0024-3795(89)90580-6 · Cited by 305 · see citing works
Generalized No-Broadcasting Theorem
Barnum, H., Barrett, J., Leifer, M., & Wilce, A. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.240501 · Cited by 289 · see citing works
Coupling quantum-like cognition with the neuronal networks within generalized probability theory
Khrennikov, A., Ozawa, M., Benninger, F., & Shor, O. (2025) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2025.102923 · Cited by 17 · see citing works
“The GPT-models based on such spaces are considered as classical [3, Theorem II.4.3].”
Influential
- Authors
- Alfsen, E. M.
- Corresponding author
- Alfsen, Erik M.
- Venue
- Springer eBooks
- Publisher
- Springer Berlin Heidelberg
- Published
- 1971
- OpenAlex
- W1602423691
- Cited by
- 821
- References
- 0
- Citations by year
- 2026: 3 · 2025: 20 · 2024: 13 · 2023: 16 · 2022: 23 · 2021: 17 · 2020: 23 · 2019: 17 · 2018: 15 · 2017: 17 · 2016: 20 · 2015: 12 · 2014: 17 · 2013: 15 · 2012: 17
- FWCI
- 11.30
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Springer eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Banach Space Theory
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Operator Algebra Research
- Physical Sciences › Mathematics › Applied Mathematics › Holomorphic and Operator Theory
- Keywords
- compact convex sets, boundary measure, Choquet integral representation, Choquet boundary, Choquet simplex, extreme points, envelopes, Silov boundary, order unit spaces
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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.
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