TY - JOUR AU - Bao, Qinglan AU - Sun, Jiong AU - Hao, Xiaoling TI - Characterization of self-adjoint domains for regular odd order C-symmetric differential operators JF - LINEAR AND MULTILINEAR ALGEBRA J2 - LINEAR MULTILINEAR A PY - 2024 PG - 15 SN - 0308-1087 DO - 10.1080/03081087.2023.2284752 UR - https://m2.mtmt.hu/api/publication/34641754 ID - 34641754 LA - English DB - MTMT ER - TY - JOUR AU - Jeyaraman, I. AU - Divyadevi, T. TI - Euclidean and circum-Euclidean distance matrices: characterizations and interlacing property JF - LINEAR AND MULTILINEAR ALGEBRA J2 - LINEAR MULTILINEAR A PY - 2024 PG - 23 SN - 0308-1087 DO - 10.1080/03081087.2023.2299393 UR - https://m2.mtmt.hu/api/publication/34584501 ID - 34584501 N1 - Export Date: 28 March 2024 Correspondence Address: Jeyaraman, I.; Department of Mathematics, India; email: jeyaraman@nitt.edu AB - Motivated by the inverse formula of the distance matrix of a tree and the Moore-Penrose inverse of a circum-Euclidean distance matrix (CEDM), in this paper, we study a general real square matrix M whose Moore-Penrose inverse can be expressed as the sum of a Laplacian-like matrix L and a rank one matrix. In particular, for a symmetric hollow matrix M, under an assumption, we show that M is a Euclidean distance matrix if and only if L is positive semidefinite. Based on this, we obtain a new characterization for CEDMs involving their Moore-Penrose inverses. As an application, we show that the distance matrices of block graphs and odd-cycle-clique graphs are CEDMs. Finally, we establish an interlacing property between the eigenvalues of a Euclidean distance matrix M (including the singular case) and its associated Laplacian-like matrix L, which generalizes the interlacing property proved for the distance matrices of trees. LA - English DB - MTMT ER - TY - JOUR AU - Kye, Seung-Hyeok TI - Exposedness of elementary positive maps between matrix algebras JF - LINEAR AND MULTILINEAR ALGEBRA J2 - LINEAR MULTILINEAR A PY - 2024 PG - 10 SN - 0308-1087 DO - 10.1080/03081087.2024.2304694 UR - https://m2.mtmt.hu/api/publication/34584375 ID - 34584375 AB - The positive linear maps $ \operatorname {Ad}_s $ Ads which send matrices x to $ s<^>*xs $ s*xs play important roles in quantum information theory as well as matrix theory. It was proved by [Marciniak M. Rank properties of exposed positive maps. Linear Multilinear Alg. 2013;61:970-975] that the map $ \operatorname {Ad}_s $ Ads generates an exposed ray of the convex cone of all positive linear maps. In this note, we provide two alternative proofs, using Choi matrices and Woronowicz's method, respectively. LA - English DB - MTMT ER - TY - JOUR AU - Pankov, Mark AU - Tyc, Adam TI - Chow's theorem for Hilbert Grassmannians as a Wigner-type theorem JF - LINEAR AND MULTILINEAR ALGEBRA J2 - LINEAR MULTILINEAR A PY - 2024 PG - 11 SN - 0308-1087 DO - 10.1080/03081087.2024.2311260 UR - https://m2.mtmt.hu/api/publication/34581108 ID - 34581108 AB - Let H be an infinite-dimensional complex Hilbert space. Denote by $ {\mathcal G}_{\infty }(H) $ G infinity(H) the Grassmannian formed by closed subspaces of H whose dimension and codimension both are infinite. We say that $ X,Y\in {\mathcal G}_{\infty }(H) $ X,Y is an element of G infinity(H) are ortho-adjacent if they are compatible and $ X\cap Y $ X boolean AND Y is a hyperplane in both X, Y. A subset $ {\mathcal C}\subset {\mathcal G}_{\infty }(H) $ C subset of G infinity(H) is called an A-component if for any $ X,Y\in {\mathcal C} $ X,Y is an element of C the intersection $ X\cap Y $ X boolean AND Y is of the same finite codimension in both X, Y and $ {\mathcal C} $ C is maximal with respect to this property. Let f be a bijective transformation of $ {\mathcal G}_{\infty }(H) $ G infinity(H) preserving the ortho-adjacency relation in both directions. We show that the restriction of f to every A-component is induced by a unitary or anti-unitary operator or it is the composition of the orthocomplementary map and a map induced by a unitary or anti-unitary operator. Note that the restrictions of f to distinct A-components can be related to different operators. LA - English DB - MTMT ER - TY - JOUR AU - Choi, H. AU - Kim, S. AU - Lim, Y. TI - A binomial expansion formula for weighted geometric means of unipotent matrices JF - LINEAR AND MULTILINEAR ALGEBRA J2 - LINEAR MULTILINEAR A VL - 72 PY - 2024 IS - 4 SP - 615 EP - 630 PG - 16 SN - 0308-1087 DO - 10.1080/03081087.2022.2160425 UR - https://m2.mtmt.hu/api/publication/34756307 ID - 34756307 LA - English DB - MTMT ER - TY - JOUR AU - Feng, C. AU - Chen, L. AU - Xu, C. AU - Shen, Y. TI - Inertia of two-qutrit entanglement witnesses JF - LINEAR AND MULTILINEAR ALGEBRA J2 - LINEAR MULTILINEAR A VL - 72 PY - 2024 IS - 3 SP - 451 EP - 473 PG - 23 SN - 0308-1087 DO - 10.1080/03081087.2022.2159304 UR - https://m2.mtmt.hu/api/publication/33674455 ID - 33674455 LA - English DB - MTMT ER - TY - JOUR AU - Encinas, A. M. AU - Jimenez, M. J. AU - Marijuan, C. AU - Mitjana, M. AU - Pisonero, M. TI - Bisymmetric non-negative Jacobi matrix realizations JF - LINEAR AND MULTILINEAR ALGEBRA J2 - LINEAR MULTILINEAR A PY - 2023 PG - 28 SN - 0308-1087 DO - 10.1080/03081087.2023.2297391 UR - https://m2.mtmt.hu/api/publication/34608971 ID - 34608971 AB - Within the symmetric inverse eigenvalue problem, the case of bisymmetric Jacobi matrices occupies a central place, since for any strictly monotone list of n real numbers there exists a unique bisymmetric Jacobi matrix realizing the list. Apart from their meaning in several issues such as physics, mechanics, statistics, to cite some of them, the families of this kind of matrices whose spectrum is known are used as models for testing the different algorithms to recover the entries of matrices from spectra data. However, the spectrum is known only for a few families of bisymmetric Jacobi matrices and the examples mainly refer to the case when the spectrum is given by a linear or quadratic function of the order and of the row index. In the first part of this paper, we join all known cases by proving a general result about bisymmetric Jacobi realizations of strictly monotone sequences that are quadratic at most. In the second part, we focus on the non-negative bisymmetric realizations, obtaining new necessary conditions for a given list to be realized by a non-negative bisymmetric Jacobi matrix. The main novelty in our techniques is considering the gaps between the eigenvalues instead of focusing on the eigenvalues themselves. In the last part of this paper, we explicitly obtain the bisymmetric realization of any list for order less or equal to 6. LA - English DB - MTMT ER - TY - JOUR AU - Qi, Xiaofei AU - Xu, Bing AU - Hou, Jinchuan TI - Characterizations of additive local Jordan *-derivations by action at idempotents JF - LINEAR AND MULTILINEAR ALGEBRA J2 - LINEAR MULTILINEAR A PY - 2023 PG - 37 SN - 0308-1087 DO - 10.1080/03081087.2023.2273328 UR - https://m2.mtmt.hu/api/publication/34584372 ID - 34584372 AB - Let H be a real or complex Hilbert space and B(H) the algebra of all bounded linear operators on H. Recall that a map delta:B(H)-> B(H) is called an inner Jordan & lowast;-derivation if there exists some T is an element of B(H) such that delta(A)=AT-TA & lowast; for all A is an element of B(H). In this paper, it is proved that inner Jordan & lowast;-derivations are the only additive maps delta of B(H) with the property that delta(P)=delta(P)P & lowast;+P delta(P) for all idempotent operators P is an element of B(H) if dim H=infinity, which is satisfied by additive local Jordan & lowast;-derivations. For the finite dimensional case, additional conditions are required for delta to be an inner Jordan & lowast;-derivation. As applications, it is shown that, for any given C,D is an element of B(H), delta satisfies delta(A)B-& lowast;+B delta(A)+delta(B)A(& lowast;)+A delta(B)=D for all A,B is an element of B(H) with AB + BA = C if and only if delta is an inner Jordan &+-derivation and D=delta(C). Also, several known results are generalized. LA - English DB - MTMT ER - TY - JOUR AU - Ma, Xuan AU - Bakhet, Ahmed AU - He, Fuli AU - Abdalla, Mohamed TI - The incomplete matrix beta function and its application to first Appell hypergeometric matrix function JF - LINEAR AND MULTILINEAR ALGEBRA J2 - LINEAR MULTILINEAR A PY - 2023 PG - 19 SN - 0308-1087 DO - 10.1080/03081087.2023.2224495 UR - https://m2.mtmt.hu/api/publication/34299603 ID - 34299603 AB - In this paper, we first introduce the incomplete beta matrix function B-z(M, K), Z is an element of C, for parameter matrices M and K in C-mxm using the neutrix limit and evaluation methods on their the partial derivatives. Also, we define a new extension of the Pochhammer matrix symbol in terms of the incomplete beta matrix functions. Furthermore, we then apply this extended matrix symbol for the incomplete first Appell hypergeometric matrix functions and obtain some of their properties. LA - English DB - MTMT ER - TY - JOUR AU - Labbane, Yassine AU - Aharmim, Bouchra TI - Maps commuting with the λ-Aluthge transform for the semistar Jordan product JF - LINEAR AND MULTILINEAR ALGEBRA J2 - LINEAR MULTILINEAR A PY - 2023 PG - 23 SN - 0308-1087 DO - 10.1080/03081087.2023.2211722 UR - https://m2.mtmt.hu/api/publication/34279726 ID - 34279726 AB - Let H and K be two complex separable Hilbert spaces, such that dim(H) >= 2 and B(H) the algebra of bounded linear operators ofH on itself. For every A, B is an element of B(H), the semistar Jordan product is denoted by A (sic) B = (1)/(2) (AB + B* A) and for every lambda is an element of[0, 1], the lambda-Aluthge transform of A is denoted by Delta(lambda)(A). We show that a bijective map Phi : B(H) -> B(K) satisfies the following condition for some lambda is an element of(0, 1), Delta lambda(Phi (A) (sic) Phi (B)) = Phi (Delta(lambda)(A (sic) B)), forall A, B is an element of B(H), if and only if there exists a unitary or anti-unitary operator U : H -> K, such that Phi(A) = UAU*, forall A is an element of B(H). LA - English DB - MTMT ER -