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A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral [PDF]
Entropy, 2020 We investigate the partial derivative approach to the change of scale formula for the functon space integral and we investigate the vector calculus approach to the directional derivative on the function space and prove relationships among the Wiener ...
Young Sik Kim
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Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra [PDF]
Entropy, 2020 We investigate some relationships among the integral transform, the function space integral and the first variation of the partial derivative approach in the Banach algebra defined on the function space.
Kim Young Sik
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International Journal of Mathematics and Mathematical Sciences, 1980 A study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence.
R. A. McCoy
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The Universal Teichmüller Space and Function Space
Journal of Function Spaces, 2020 In this paper, a subspace TF02,1−s,s of the universal Teichmüller space, which is related to the analytic function space F02,1−s,s, is introduced and the holomorphy of the Bers map is shown.
Yutong Liu, Yi Qi
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Functional Space Consisted by Continuous Functions on Topological Space [PDF]
Formalized Mathematics, 2021 Summary In this article, using the Mizar system [1], [2], first we give a definition of a functional space which is constructed from all continuous functions defined on a compact topological space [5]. We prove that this functional space is a Banach space [3].
Hiroshi Yamazaki +2 more
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Environmental Science and Ecotechnology, 2022 Reductive immobilization has been a commonly used technique to detoxify Cr(VI) from soil; however, it's challenging to remove the reduced Cr from soil to prevent its re-oxidation.
Xiang Ji +9 more
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Topological transitivity of translation operators in a non-separable Hilbert space
Karpatsʹkì Matematičnì Publìkacìï, 2023 We consider a Hilbert space of entire analytic functions on a non-separable Hilbert space, associated with a non-separable Fock space. We show that under some conditions operators, like the differentiation operators and translation operators, are ...
Z.H. Novosad
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Electron transfer rules of minerals under pressure informed by machine learning
Nature Communications, 2023 Li and coworkers quantitatively evaluate the tendency and direction of electron transfer in the deep Earth using a machine learning method to predict the electronegativity of atoms and work function of minerals under pressure.
Yanzhang Li +11 more
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Relating function spaces to resourced function spaces [PDF]
Proceedings of the 2011 ACM Symposium on Applied Computing, 2011 In order to prove the computational adequacy of the (operational)natural semantics for lazy evaluation with respect to a standard denotational semantics, Launchbury defines a resourced denotational semantics. This should be equivalent to the standard one when given infinite resources, but this fact cannot be so directly established, because each ...
Lidia Sánchez-Gil +2 more
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A function space integral for a Banach space of functionals on Wiener space [PDF]
Proceedings of the American Mathematical Society, 1974 In an earlier paper the authors established the existence of Cameron and Storvick's function space integral J,(F) for a class of finite-dimensional functionals F. Here we consider a space A of not necessarily finite-dimensional functionals generated by the earlier functionals.
Johnson, G. W., Skoug, D. L.
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