@article{MTMT:34641754, title = {Characterization of self-adjoint domains for regular odd order C-symmetric differential operators}, url = {https://m2.mtmt.hu/api/publication/34641754}, author = {Bao, Qinglan and Sun, Jiong and Hao, Xiaoling}, doi = {10.1080/03081087.2023.2284752}, journal-iso = {LINEAR MULTILINEAR A}, journal = {LINEAR AND MULTILINEAR ALGEBRA}, unique-id = {34641754}, issn = {0308-1087}, keywords = {Boundary conditions; Differential operators; self-adjoint domains; C-symmetric}, year = {2024}, eissn = {1563-5139} } @article{MTMT:34584501, title = {Euclidean and circum-Euclidean distance matrices: characterizations and interlacing property}, url = {https://m2.mtmt.hu/api/publication/34584501}, author = {Jeyaraman, I. and Divyadevi, T.}, doi = {10.1080/03081087.2023.2299393}, journal-iso = {LINEAR MULTILINEAR A}, journal = {LINEAR AND MULTILINEAR ALGEBRA}, unique-id = {34584501}, issn = {0308-1087}, abstract = {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.}, keywords = {Moore-Penrose inverse; distance matrix; Laplacian-like matrix; Euclidean distance matrix; conditionally negative definite; interlacing property}, year = {2024}, eissn = {1563-5139} } @article{MTMT:34584375, title = {Exposedness of elementary positive maps between matrix algebras}, url = {https://m2.mtmt.hu/api/publication/34584375}, author = {Kye, Seung-Hyeok}, doi = {10.1080/03081087.2024.2304694}, journal-iso = {LINEAR MULTILINEAR A}, journal = {LINEAR AND MULTILINEAR ALGEBRA}, unique-id = {34584375}, issn = {0308-1087}, abstract = {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.}, keywords = {Duality; MATRIX ALGEBRAS; separable states; Exposed positive linear maps; Choi matrices; bi-dual face; identity maps; super-positive maps; entanglement breaking maps; block-positive matrices}, year = {2024}, eissn = {1563-5139} } @article{MTMT:34581108, title = {Chow's theorem for Hilbert Grassmannians as a Wigner-type theorem}, url = {https://m2.mtmt.hu/api/publication/34581108}, author = {Pankov, Mark and Tyc, Adam}, doi = {10.1080/03081087.2024.2311260}, journal-iso = {LINEAR MULTILINEAR A}, journal = {LINEAR AND MULTILINEAR ALGEBRA}, unique-id = {34581108}, issn = {0308-1087}, abstract = {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.}, keywords = {Compatibility; PROJECTION; Hilbert Grassmannian; Adjacency; unitary and anti-unitary operators}, year = {2024}, eissn = {1563-5139} } @article{MTMT:34756307, title = {A binomial expansion formula for weighted geometric means of unipotent matrices}, url = {https://m2.mtmt.hu/api/publication/34756307}, author = {Choi, H. and Kim, S. and Lim, Y.}, doi = {10.1080/03081087.2022.2160425}, journal-iso = {LINEAR MULTILINEAR A}, journal = {LINEAR AND MULTILINEAR ALGEBRA}, volume = {72}, unique-id = {34756307}, issn = {0308-1087}, year = {2024}, eissn = {1563-5139}, pages = {615-630} } @article{MTMT:33674455, title = {Inertia of two-qutrit entanglement witnesses}, url = {https://m2.mtmt.hu/api/publication/33674455}, author = {Feng, C. and Chen, L. and Xu, C. and Shen, Y.}, doi = {10.1080/03081087.2022.2159304}, journal-iso = {LINEAR MULTILINEAR A}, journal = {LINEAR AND MULTILINEAR ALGEBRA}, volume = {72}, unique-id = {33674455}, issn = {0308-1087}, year = {2024}, eissn = {1563-5139}, pages = {451-473} } @article{MTMT:34608971, title = {Bisymmetric non-negative Jacobi matrix realizations}, url = {https://m2.mtmt.hu/api/publication/34608971}, author = {Encinas, A. M. and Jimenez, M. J. and Marijuan, C. and Mitjana, M. and Pisonero, M.}, doi = {10.1080/03081087.2023.2297391}, journal-iso = {LINEAR MULTILINEAR A}, journal = {LINEAR AND MULTILINEAR ALGEBRA}, unique-id = {34608971}, issn = {0308-1087}, abstract = {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.}, keywords = {REALIZATION; Non-negative matrix; Jacobi matrix; bisymmetric matrix}, year = {2023}, eissn = {1563-5139} } @article{MTMT:34584372, title = {Characterizations of additive local Jordan *-derivations by action at idempotents}, url = {https://m2.mtmt.hu/api/publication/34584372}, author = {Qi, Xiaofei and Xu, Bing and Hou, Jinchuan}, doi = {10.1080/03081087.2023.2273328}, journal-iso = {LINEAR MULTILINEAR A}, journal = {LINEAR AND MULTILINEAR ALGEBRA}, unique-id = {34584372}, issn = {0308-1087}, abstract = {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.}, keywords = {Hilbert spaces; Jordan *-derivations; Idempotent operators}, year = {2023}, eissn = {1563-5139} } @article{MTMT:34299603, title = {The incomplete matrix beta function and its application to first Appell hypergeometric matrix function}, url = {https://m2.mtmt.hu/api/publication/34299603}, author = {Ma, Xuan and Bakhet, Ahmed and He, Fuli and Abdalla, Mohamed}, doi = {10.1080/03081087.2023.2224495}, journal-iso = {LINEAR MULTILINEAR A}, journal = {LINEAR AND MULTILINEAR ALGEBRA}, unique-id = {34299603}, issn = {0308-1087}, abstract = {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.}, keywords = {Incomplete beta matrix function; incomplete Pochhammer matrix symbol; incomplete Appell hypergeometric matrix function}, year = {2023}, eissn = {1563-5139}, orcid-numbers = {He, Fuli/0000-0002-9395-545X} } @article{MTMT:34279726, title = {Maps commuting with the λ-Aluthge transform for the semistar Jordan product}, url = {https://m2.mtmt.hu/api/publication/34279726}, author = {Labbane, Yassine and Aharmim, Bouchra}, doi = {10.1080/03081087.2023.2211722}, journal-iso = {LINEAR MULTILINEAR A}, journal = {LINEAR AND MULTILINEAR ALGEBRA}, unique-id = {34279726}, issn = {0308-1087}, abstract = {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).}, keywords = {Hilbert spaces; lambda-Aluthge transform; orthogonal projections; Jordan product of operators; Non linear preservers; spectrum and trace}, year = {2023}, eissn = {1563-5139} }