Results 11 to 20 of about 572 (49)
Closed-form formula for a classical system of matrix equations
Arab Journal of Basic and Applied Sciences, 2022 Keeping in view the latest development of anti-Hermitian matrix in mind, we construct some closed form formula for a classical system of matrix equations having anti-Hermitian nature in this paper.
Abdur Rehman +4 more
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Limits of Sequences of Feebly-Type Continuous Functions
Annales Mathematicae Silesianae, 2020 We consider the following families of real-valued functions defined on đ2: feebly continuous functions (FC), very feebly continuous functions (VFC), and two-feebly continuous functions (TFC). It is known that the inclusions FC â VFC â TFC are proper.
Balcerzak Marek +2 more
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On sequences not enjoying Schurâs property
Open Mathematics, 2017 Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schurâs property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some
JimĂ©nez-RodrĂguez Pablo
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Rank relations between a {0, 1}-matrix and its complement
Open Mathematics, 2018 Let A be a {0, 1}-matrix and r(A) denotes its rank. The complement matrix of A is defined and denoted by Ac = J â A, where J is the matrix with each entry being 1.
Ma Chao, Zhong Jin
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Lineability, spaceability, and additivity cardinals for Darboux-like functions [PDF]
, 2013 We introduce the concept of maximal lineability cardinal number, mL(M), of a subset M of a topological vector space and study its relation to the cardinal numbers known as: additivity A(M), homogeneous lineability HL(M), and lineability L(M) of M.
Aron +32 more
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From primitive spaces of bounded rank matrices to a generalized Gerstenhaber theorem
, 2013 A recent generalization of Gerstenhaber's theorem on spaces of nilpotent matrices is derived, under mild conditions on the cardinality of the underlying field, from Atkinson's structure theorem on primitive spaces of bounded rank matrices.Comment: 10 ...
Pazzis, Clément de Seguins
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Matrix rank and inertia formulas in the analysis of general linear models
Open Mathematics, 2017 Matrix mathematics provides a powerful tool set for addressing statistical problems, in particular, the theory of matrix ranks and inertias has been developed as effective methodology of simplifying various complicated matrix expressions, and ...
Tian Yongge
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Generalized Chebyshev Polynomials
Discussiones Mathematicae - General Algebra and Applications, 2018 Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a â-vectorial subspace En(x) of â[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
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The Flanders theorem over division rings
, 2015 Let $\mathbb{D}$ be a division ring and $\mathbb{F}$ be a subfield of the center of $\mathbb{D}$ over which $\mathbb{D}$ has finite dimension $d$. Let $n,p,r$ be positive integers and $\mathcal{V}$ be an affine subspace of the $\mathbb{F}$-vector space ...
Pazzis, Clément de Seguins
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A completely entangled subspace of maximal dimension
, 2004 A completely entangled subspace of a tensor product of Hilbert spaces is a subspace with no non-trivial product vector. K. R. Parthasarathy determined the maximum dimension possible for such a subspace.
Bhat, B. V. Rajarama
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