Results 21 to 30 of about 4,419 (107)
Representation of Topological Algebras by Projective Limit of Fréchet Algebras
Communications in Mathematics and Applications, 2012 It is shown that every topological Hausdorff algebra (in particular, locally pseudoconvex Hausdorff algebra) $A$ with jointly continuous multiplication is topologically isomorphic to a dense subalgebra of the projective limit of Frechet (respectively ...
M. Abel
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The center of topologically primitive exponentially galbed algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 Let A be a unital sequentially complete topologically primitive exponentially galbed Hausdorff algebra over ℂ, in which all elements are bounded. It is shown that the center of A is topologically isomorphic to ℂ.
Mart Abel, Mati Abel
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Asymptotic hyperfunctions, tempered hyperfunctions, and asymptotic expansions
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 5, Page 755-788, 2005., 2005 We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory. We use Fourier transformation and duality to examine relations of these asymptotic and tempered hyperfunctions to known classes of test functions and distributions, especially the Gel′fand‐
Andreas U. Schmidt
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Duality by reproducing kernels
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 6, Page 327-395, 2003., 2003 Let A be a determined or overdetermined elliptic differential operator on a smooth compact manifold X. Write 𝒮A(𝒟) for the space of solutions of the system Au = 0 in a domain 𝒟⋐X. Using reproducing kernels related to various Hilbert structures on subspaces of 𝒮A(𝒟), we show explicit identifications of the dual spaces.
A. Shlapunov, N. Tarkhanov
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Toeplitz operators with BMO symbols and the Berezin transform
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 46, Page 2929-2945, 2003., 2003 We prove that the boundedness and compactness of the Toeplitz operator on the Bergman space with a BMO1 symbol is completely determined by the boundary behaviour of its Berezin transform. This result extends the known results in the cases when the symbol is either a positive L1‐function or an L∞ function.
Nina Zorboska
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Cohomology with Lp‐bounds on polycylinders
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 475-484, 1995., 1994 Let Ω = Ω1 × …×Ωn be a polycylinder in ℂn, that is each Ωj is bounded, non‐empty and open in ℂ. The main result proved here is that, if Bp is the sheaf of germs of Lp‐holomorphic functions on then for q ≥ 1. The proof of this is then used to establish a Leray′s Isomorphism with Lp‐bounds theorem.
P. W. Darko, C. H. Lutterodt
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Dirac–Schrödinger operators, index theory and spectral flow
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
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Nonsmooth analysis and optimization on partially ordered vector spaces
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 65-81, 1992., 1991 Interval‐Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz‐type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector lattice. Sample applications to the theory of nonsmooth optimization are given.
Thomas W. Reiland
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Corrigendum to “Locally definable groups in o-minimal structures” [J. Algebra 301 (2006) 194–223]
, 2008 In this short note we show that we must replace the notion of connectedness used in the second author's paper [M. Edmundo, Locally definable groups in o-minimal structures, J. Algebra 301 (2006) 194–223].
Edmundo, Mário J. +2 more
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Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
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