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Remarks on non-diagonality conditions for Sierpinski carpets

open access: yesRemarks on non-diagonality conditions for Sierpinski carpets
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Off-diagonal condition

Monatshefte für Mathematik, 2022
This is a study of maximal ideals in simplified and full Colombeau algebras of generalized functions. Compared to previous work of the authors, new points of view that enter the analysis are the incorporation of \textit{E. E. Rosinger}'s work on general embeddings of distributions into algebras of generalized functions using ``off diagonal'' conditions
W. Rodrigues   +3 more
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⊤-diagonal conditions and Continuous extension theorem

Fuzzy Sets and Systems, 2017
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Fang, Jinming, Yue, Yueli
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Fischer's Diagonal Condition for Lattice-Valued Convergence Spaces

Quaestiones Mathematicae, 2008
We study a generalization of a diagonal condition which classically ensures that a convergence space is topological. We show that only under an additional condition, which classically is always true, the validity of this diagonal condition implies that a Heyting algebra-valued convergence space is L-topological.
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Uniqueness Condition for Nonunitary Joint Diagonalization

2010 International Conference on Machine Vision and Human-machine Interface, 2010
Joint Diagonalization(JD) of a set of matrices is a potential tool in signal processing area. The uniqueness condition for Non-unitary Joint Diagonalization(NJD) is deduced in this paper, which serve as a mathematical foundation for the application of NJD. The uniqueness of NJD is that the vectors consisting of diagonal elements in the same position of
Yan-liang Zhang, Hui-juan Jia, Hui Guo
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Sufficient conditions for judging quasi-strictly diagonally dominant tensors

Computational and Applied Mathematics, 2023
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Deng, Zixin   +2 more
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Diagonal bi-acts over semigroups with finiteness conditions

Semigroup Forum, 2014
It is proved that if the diagonal bi-act \(_S(S\times S)_S\) over an infinite epigroup \(S\) is finitely generated, then \(S=G\sqcup N\) (disjoint union), where \(G\) is an infinite group with finitely many conjugacy classes and \(N\) a certain ideal of \(S\).
Kozhukhov, I. B.   +1 more
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