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Some Automatic Continuity Theorems for Operator Algebras and Centralizers of Pedersen's Ideal [PDF]

open access: yes, 2016
We prove automatic continuity theorems for "decomposable" or "local" linear transformations between certain natural subspaces of operator algebras. The transformations involved are not algebra homomorphisms but often are module homomorphisms.
Brown, Lawrence G.
core   +1 more source

Turning Automatic Continuity Around: Automatic Homomorphisms

open access: yesReal Analysis Exchange, 2016
Let $G$ and $H$ be Polish groups and let $\pi\colon G\rightarrow H$ be a function. The automatic continuity problem is the following: assuming $\pi$ is a group homomorphism, find conditions on $G$, $H$, or $\pi$ which imply that $\pi$ is continuous. In this note, we initiate a study of a reverse problem: supposing $\pi$ is continuous, find conditions ...
Berndt, Ryan M., Oman, Greg G.
openaire   +2 more sources

Additivity, subadditivity and linearity: automatic continuity and quantifier weakening [PDF]

open access: yes, 2017
We study the interplay between additivity (as in the Cauchy functional equation), subadditivity and linearity. We obtain automatic continuity results in which additive or subadditive functions, under minimal regularity conditions, are continuous and so ...
Bingham, N. H., Ostaszewski, A. J.
core   +3 more sources

HiCAT: a tool for automatic annotation of centromere structure

open access: yesGenome Biology, 2023
Significant improvements in long-read sequencing technologies have unlocked complex genomic areas, such as centromeres, in the genome and introduced the centromere annotation problem. Currently, centromeres are annotated in a semi-manual way.
Shenghan Gao   +5 more
doaj   +1 more source

Design of the BATS for a large data center

open access: yesZhejiang dianli, 2022
As important loads in first-class loads, the large data center demands a highly reliable power supply. In addition to a dual power supply, the center is also equipped with an emergency power supply system. The traditional busbar automatic transfer switch
SHEN Zheng, JIN Zhen
doaj   +1 more source

Automatic continuity for weakly decomposable operators [PDF]

open access: yesPacific Journal of Mathematics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lange, R., Wang, S., Zhong, Y.
openaire   +3 more sources

Maps preserving common zeros between subspaces of vector-valued continuous functions [PDF]

open access: yes, 2009
For metric spaces $X$ and $Y$, normed spaces $E$ and $F$, and certain subspaces $A(X,E)$ and $A(Y,F)$ of vector-valued continuous functions, we obtain a complete characterization of linear and bijective maps $T:A(X,E)\to A(Y,F)$ preserving common zeros ...
Dubarbie, Luis
core   +1 more source

How to maintain a business continuity despite cyber incidents? [PDF]

open access: yesTehnika, 2015
Modern IT systems can bring a lot of advantages in terms of electronic commerce and governance as well as an automatic process control within industry, traffic and the other ways of classical and critical infrastructure.
Đekić Milica D.
doaj   +1 more source

Automatic continuity of concave functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
A necessary and sufficient condition is given that a semicontinuous, nonnegative, concave function on a finite dimensional closed convex set X X necessarily be continuous at a point x 0 ∈ X {x_0} \in X .
openaire   +2 more sources

Automatic continuity of homomorphisms between topological inverse semigroups

open access: yesTopological Algebra and its Applications, 2018
We find conditions on topological inverse semigroups X, Y guaranteeing the continuity of any homomorphism h : X → Y having continuous restrictions to any subsemilattice and any subgroup of X.
Pastukhova Iryna
doaj   +1 more source

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