Chansangiam, Pattrawut

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Chansangiam, Pattrawut
Alternative Name
Chansangiam, P.
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Email
pattrawut.ch@kmitl.ac.th

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    Inequalities for Kronecker products and Hadamard products of positive definite matrices
    (2009-01-01)
    Chansangiam, Pattrawut
    ;
    Hemchote, Patcharin
    ;
    Pantaragphong, Praiboon
    The purpose of this paper is to develop inequalities for Kronecker products and Hadamard products of positive definite matrices. A number of inequalities involving powers, Kronecker powers, and Hadamard powers of linear combination of matrices are presented. In particular, Hölder inequalities and arithmetic mean-geometric mean inequalities for Kronecker products and Hadamard products are obtained as special cases.
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    Generalizations of Bohr inequality for Hilbert space operators
    (2009-08-15)
    Chansangiam, P.
    ;
    Hemchote, P.
    ;
    Pantaragphong, P.
    Let B (H) be the space of all bounded linear operators on a complex separable Hilbert space H. Bohr inequality for Hilbert space operators asserts that for A, B ∈ B (H) and p, q > 1 real numbers such that 1 / p + 1 / q = 1,| A + B |<sup>2</sup> ≤ p | A |<sup>2</sup> + q | B |<sup>2</sup> with equality if and only if B = (p - 1) A. In this paper, a number of generalizations of Bohr inequality for operators in B (H) are established. Moreover, Bohr inequalities are extended to multiple operators and some related inequalities are obtained. The results in this paper generalize results known so far. The idea of transforming problems in operator theory to problems in matrix theory, which are easy to handle, is the key role. © 2009 Elsevier Inc. All rights reserved.