Surjective Homomorphisms from Algebras of Operators on Long Sequence Spaces are Automatically Injective
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DOI: 10.1093/qmath/haaa066
Abstract: We study automatic injectivity of surjective algebra homomorphisms from $\mathscr{B}(X)$, the algebra of (bounded, linear) operators on $X$, to $\mathscr{B}(Y)$, where $X$ is one of the following \emph{long} sequence spaces: $c_0(\lambda)$, $\ell_{\infty}^c(\lambda)$, and $\ell_p(\lambda)$ ($1… read more here.
Keywords: long sequence; algebras operators; surjective homomorphisms; sequence spaces ... See more keywords
Improved 3-D LSTM: A Video Prediction Approach to Long Sequence Load Forecasting
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DOI: 10.1109/tsg.2024.3458989
Abstract: Power load forecasting is the foundation of maintaining power grid stability, and can assist in decision-making to reduce operating costs. Fine-grained long sequence load forecasting contributes to formulating plans for power purchase, electricity consumption, energy… read more here.
Keywords: memory; load; load forecasting; sequence load ... See more keywords