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partial translation algebras for certain discrete metric spaces

open access: yes, 2010
The notion of a partial translation algebra was introduced by Brodzki, Nibloand Wright in [11] to provide an analogue of the reduced group C*-algebrafor metric spaces.
Putwain, Rosemary Johanna
core  

Direct Integral and Decompoisitions of Locally Hilbert spaces

open access: yes
In this work, we introduce the concept of direct integral of locally Hilbert spaces by using the notion of locally standard measure space (analogous to standard measure space defined in the classical setup), which we obtain by considering a strictly ...
Pamula, Santhosh Kumar   +1 more
core  

Locally M-Pseudoconvex Topologies on Locally A-Pseudoconvex Algebras [PDF]

open access: yesCzechoslovak Mathematical Journal, 2004
summary:Let $(A, T )$ be a locally A-pseudoconvex algebra over $\mathbb{R}$ or $\mathbb{C}$. We define a new topology $m (T)$ on $A$ which is the weakest among all m-pseudoconvex topologies on $A$ stronger than $T$.
M. Abel, J. Arhippainen, Tartu Oulu
exaly   +3 more sources

Structure of locally idempotent algebras

open access: yesBanach Journal of Mathematical Analysis, 2007
Mati Abel
exaly   +2 more sources
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A category equivalence on the Lie algebra of polynomial vector fields

Journal of Algebra, 2023
For any positive integer $n$, let $W_n=\text{Der}(\mathbb{C}[t_1,\dots,t_n])$. The subspaces $\mathfrak{h}_n=\text{Span}\{t_1\frac{\partial}{\partial{t_1}},\dots,t_n\frac{\partial}{\partial{t_n}}\}$ and $\Delta_n=\text{Span}\{\frac{\partial}{\partial{t_1}
Genqiang Liu, Yufang Zhao
semanticscholar   +1 more source

Compactness of the Complex Green Operator on C1 Pseudoconvex Boundaries in Stein Manifolds

Mathematics
We study compactness for the complex Green operator Gq associated with the Kohn Laplacian □b on boundaries of pseudoconvex domains in Stein manifolds. Let Ω⋐X be a bounded pseudoconvex domain in a Stein manifold X of complex dimension n with C1 boundary.
C. Flaut   +5 more
semanticscholar   +1 more source

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