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1958 1
1959 3
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1965 5
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1969 9
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1971 3
1972 2
1973 6
1974 3
1975 10
1976 4
1977 8
1978 2
1979 7
1980 7
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1982 6
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1986 15
1987 12
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1989 10
1990 12
1991 3
1992 4
1993 8
1994 6
1995 3
1996 8
1997 8
1998 12
1999 9
2000 15
2001 10
2002 10
2003 8
2004 20
2005 19
2006 30
2007 25
2008 45
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2,160 results

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Page 1
Free Banach lattices under convexity conditions.
Jardón-Sánchez H, Laustsen NJ, Taylor MA, Tradacete P, Troitsky VG. Jardón-Sánchez H, et al. Rev R Acad Cienc Exactas Fis Nat A Mat. 2022;116(1):15. doi: 10.1007/s13398-021-01155-8. Epub 2021 Oct 11. Rev R Acad Cienc Exactas Fis Nat A Mat. 2022. PMID: 34776812 Free PMC article.
We prove the existence of free objects in certain subcategories of Banach lattices, including p-convex Banach lattices, Banach lattices with upper p-estimates, and AM-spaces. ...In the p-convex and AM-space cases, we are able to explicitly identify the norms …
We prove the existence of free objects in certain subcategories of Banach lattices, including p-convex Banach lattices, Ban …
Sparse Machine Learning in Banach Spaces.
Xu Y. Xu Y. Appl Numer Math. 2023 May;187:138-157. doi: 10.1016/j.apnum.2023.02.011. Epub 2023 Feb 15. Appl Numer Math. 2023. PMID: 37006783 Free PMC article.
The aim of this expository paper is to explain to graduate students and beginning researchers in the field of mathematics, statistics and engineering the fundamental concept of sparse machine learning in Banach spaces. In particular, we use binary classification as an exam …
The aim of this expository paper is to explain to graduate students and beginning researchers in the field of mathematics, statistics and en …
Koopman and Perron-Frobenius operators on reproducing kernel Banach spaces.
Ikeda M, Ishikawa I, Schlosser C. Ikeda M, et al. Chaos. 2022 Dec;32(12):123143. doi: 10.1063/5.0094889. Chaos. 2022. PMID: 36587322
In this paper, we give a general framework for Koopman and Perron-Frobenius operators on reproducing kernel Banach spaces (RKBSs). More precisely, we extend basic known properties of these operators from RKHSs to RKBSs and state new results, including symmetry and sparsity …
In this paper, we give a general framework for Koopman and Perron-Frobenius operators on reproducing kernel Banach spaces (RKBSs). Mo …
Pandemic Preparedness.
Godshall CE, Banach DB. Godshall CE, et al. Infect Dis Clin North Am. 2021 Dec;35(4):1077-1089. doi: 10.1016/j.idc.2021.07.008. Infect Dis Clin North Am. 2021. PMID: 34752221 Review.
Richards's curve induced Banach space valued multivariate neural network approximation.
Anastassiou GA, Karateke S. Anastassiou GA, et al. Arab J Math. 2023;12(1):11-33. doi: 10.1007/s40065-022-00414-9. Epub 2022 Dec 13. Arab J Math. 2023. PMID: 36532510 Free PMC article.
Here, we present multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or RN, N N, by the multivariate normalized, quasi-interpolation, Kantorovich-type and quadrature-type neural network operators. ...
Here, we present multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or RN, N …
Lipid-lowering therapies: Better together.
Banach M, Penson PE. Banach M, et al. Atherosclerosis. 2021 Mar;320:86-88. doi: 10.1016/j.atherosclerosis.2021.01.009. Epub 2021 Jan 12. Atherosclerosis. 2021. PMID: 33482997 No abstract available.
Richards's curve induced Banach space valued ordinary and fractional neural network approximation.
Anastassiou GA, Karateke S. Anastassiou GA, et al. Rev R Acad Cienc Exactas Fis Nat A Mat. 2023;117(1):14. doi: 10.1007/s13398-022-01343-0. Epub 2022 Nov 5. Rev R Acad Cienc Exactas Fis Nat A Mat. 2023. PMID: 36373128 Free PMC article.
Here we perform the univariate quantitative approximation, ordinary and fractional, of Banach space valued continuous functions on a compact interval or all the real line by quasi-interpolation Banach space valued neural network operators. ...The approximations are …
Here we perform the univariate quantitative approximation, ordinary and fractional, of Banach space valued continuous functions on a …
Asymptotic aspect of derivations in Banach algebras.
Roh J, Chang IS. Roh J, et al. J Inequal Appl. 2017;2017(1):36. doi: 10.1186/s13660-017-1308-0. Epub 2017 Feb 6. J Inequal Appl. 2017. PMID: 28250691 Free PMC article.
We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra. ...We finally take cent …
We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivat …
Ball Covariance: A Generic Measure of Dependence in Banach Space.
Pan W, Wang X, Zhang H, Zhu H, Zhu J. Pan W, et al. J Am Stat Assoc. 2020;115(529):307-317. doi: 10.1080/01621459.2018.1543600. Epub 2019 Apr 11. J Am Stat Assoc. 2020. PMID: 33299261 Free PMC article.
Those complex objects (e.g, different brain subcortical structures) often reside in some Banach spaces, and hence their relationship cannot be well characterized by most of the existing measures of dependence such as correlation coefficients developed in Hilbert spaces. To …
Those complex objects (e.g, different brain subcortical structures) often reside in some Banach spaces, and hence their relationship …
2,160 results