Results 31 to 40 of about 507 (79)
The Mackey convergence condition for spaces with webs
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 473-483, 1988., 1988 If each sequence converging to 0 in a locally convex space is also Mackey convergent to 0, that space is said to satisfy the Mackey convergence condition. The problem of characterizing those locally convex spaces with this property is still open.
Thomas E. Gilsdorf
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A note on the inverse function theorem of Nash and Moser
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 2, Page 361-364, 1986., 1986 The Nash‐Moser inverse function theorem is proved for different kind of differentiabilities.
Mikael Lindstrom
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Extensions and Applications of Locally Solid Convergence Structures
MathematicsLocally solid convergence structures provide a unifying framework for both topological and non-topological convergences in vector lattice theory. In this paper, we explore various extensions and applications of locally solid convergence structures.
Saeed Hashemi Sababe
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A convenient setting for real analytic mappings
, 1989 We present here "the" cartesian closed theory for real analytic mappings. It is based on the concept of real analytic curves in locally convex vector spaces.
Andreas Kriegl +2 more
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A comparison of Hochschild homology in algebraic and smooth settings
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
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Fast complete locally convex linear topological spaces
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 791-796, 1986., 1986 This is a study of relationship between the concepts of Mackey, ultrabornological, bornological, barrelled, and infrabarrelled spaces and the concept of fast completeness. An example of a fast complete but not sequentially complete space is presented.
Carlos Bosch, Jan Kucera, Kelly McKennon
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Hochschild (co)homology of the Dunkl operator quantization of $\Z_2$-singularity
, 2010 We study Hochschild (co)homology groups of the Dunkl operator quantization of $\Z_2$-singularity constructed by Halbout and Tang. Further, we study traces on this algebra and prove a local algebraic index formula.Comment: 26 pages.
Ramadoss, Ajay, Tang, Xiang
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On linearization and uniqueness of preduals
Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.Abstract We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar‐valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F(Ω)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
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The spaces OM and OC are ultrabornological a new proof
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 4, Page 813-816, 1985., 1985 In [1] Laurent Schwartz introduced the spaces 𝒪M and of multiplication and convolution operators on temperate distributions. Then in [2] Alexandre Grothendieck used tensor products to prove that both 𝒪M and are bornological. Our proof of this property is more constructive and based on duality.
Jan Kucera
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Combable groups have group cohomology of polynomial growth
, 2018 Group cohomology of polynomial growth is defined for any finitely generated discrete group, using cochains that have polynomial growth with respect to the word length function.
Allcock +13 more
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