Results 21 to 30 of about 641 (72)
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 ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
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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 2: feebly continuous functions (FC), very feebly continuous functions (VFC), and two-feebly continuous functions (TFC). It is known that the inclusions FC ⊂ VFC ⊂ TFC are proper.
Balcerzak Marek +2 more
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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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Sequences of k-reflexivity defects
, 2016 Let H be a complex separable Hilbert space and let k be a positive integer. Given a sequence of nonnegative integers r1 r2 . . . 0 we show that there exists a subspace S ⊆ B(H ) , such that rdk(S ) = rk for all k 1 .
T. Rudolf
semanticscholar +1 more source
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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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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Automorphisms of K(H) with respect to the star partial order
, 2013 Let H be a separable infinite dimensional complex Hilbert space, and let K(H) be the set of all compact bounded linear operators on H . In the paper we characterize the bijective, additive, continuous maps on K(H) which preserve the star partial order in
G. Dolinar, A. Guterman, J. Marovt
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Lineability and modes of convergence [PDF]
, 2020 In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different modes of convergence. Concretely, the algebraic size of the family of sequences that are convergent in measure but not a.
Calderón Moreno, María del Carmen +2 more
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Multiplicative isomorphisms at invertible matrices
, 2014 Let Mn be the algebra of all n n matrices with entries in the field of real numbers. For a matrix Z 2Mn, it is said that a linear map T WMn!Mn is multiplicative at Z if T .AB/D T .A/T .B/ whenever AB DZ.
A. Armandnejad, M. Jamshidi
semanticscholar +1 more source
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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