Results 21 to 30 of about 43,448 (306)
On reflexivity of direct sums [PDF]
Proceedings of the American Mathematical Society, 2000 Summary: Necessary and sufficient conditions are presented to insure that the direct sum of two reflexive representations of a finite-dimensional algebra is reflexive, and it is shown that for each such algebra, there is an integer \(k\) such that the direct sum of \(k\) copies of each of its representations is reflexive.
Camillo, V. P., Fuller, K. R.
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Sums of slices in direct sums of Banach spaces; pp. 8–10 [PDF]
Proceedings of the Estonian Academy of Sciences, 2014 Motivated by recent studies on the strong diameter 2 property, we exhibit a simple reason why, in many direct sums of Banach spaces, the arithmetic mean of two slices may have diameter less than 2.
Eve Oja
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Distributive lattices with strong endomorphism kernel property as direct sums [PDF]
Categories and General Algebraic Structures with Applications, 2020 Unbounded distributive lattices which have strong endomorphism kernel property (SEKP) introduced by Blyth and Silva in [3] were fully characterized in [11] using Priestley duality (see Theorem 2.8}). We shall determine the structure of special elements (
Jaroslav Gurican
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A-Browder-type theorems for direct sums of operators [PDF]
Mathematica Bohemica, 2016 We study the stability of a-Browder-type theorems for orthogonal direct sums of operators. We give counterexamples which show that in general the properties $(\rm SBaw)$, $(\rm SBab)$, $(\rm SBw)$ and $(\rm SBb)$ are not preserved under direct sums of ...
Mohammed Berkani +2 more
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Partially Coherent Direct Sum Channels [PDF]
Quantum, 2021 We introduce Partially Coherent Direct Sum (PCDS) quantum channels, as a generalization of the already known Direct Sum quantum channels. We derive necessary and sufficient conditions to identify the subset of those maps which are degradable, and provide a simplified expression for their quantum capacities.
Stefano Chessa, Vittorio Giovannetti
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Proceedings of the 2015 Conference on Innovations in Theoretical Computer Science, 2015 Summary: The \textit{\(k\)-fold direct sum encoding} of a string \(a\in\{0,1\}^n\) is a function \(f_a\) that takes as input sets \(S\subseteq [n]\) of size \(k\) and outputs \(f_a(S)=\sum_{i\in S}a_i\pmod 2\). In this paper we prove a direct sum testing theorem. We describe a three query test that accepts with probability one any function of the form \
Roee David +4 more
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ZWIĄZKI SUM PROMIENIOWANIA SŁONECZNEGO Z WIELKOŚCIĄ ZACHMURZENIA NA PODSTAWIE DANYCH Z LAT 1981–2015 ZE STACJI POŁOŻONYCH W POLSKIEJ CZĘŚCI KARPAT [PDF]
Przegląd Geofizyczny, 2023 The presence of cloud cover usually reduces incoming solar radiation. The influence of cloudiness on solar energy reaching Earth’s surface mostly depends on the cloud amount, its genera and other properties. Due to processes of absorption, scattering and
Izabela Wojciechowska
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$k$-bitransitive and compound operators on Banach spaces
Karpatsʹkì Matematičnì Publìkacìï, 2016 In this this paper, we introduce new classes of operators in complex Banach spaces, which we call $k$-bitransitive operators and compound operators to study the direct sum of diskcyclic operators.
N. Bamerni, A. Kilicman
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A Characterization on Singular Value Inequalities of Matrices
Journal of Function Spaces, 2020 We obtain a characterization of pair matrices A and B of order n such that sjA≤sjB, j=1, …, n, where sjX denotes the j-th largest singular values of X. It can imply not only some well-known singular value inequalities for sums and direct sums of matrices
Wei Dai, Yongsheng Ye
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Direct sums of J-rings and radical rings
International Journal of Mathematics and Mathematical Sciences, 1995 Let R be a ring, J(R) the Jacobson radical of R and P the set of potent elements of R. We prove that if R satisfies (∗) given x, y in R there exist integers m=m(x,y)>1 and n=n(x,y)>1 such that xmy=xyn and if each x∈R is the sum of a potent element and a ...
Xiuzhan Guo
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