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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    Analytic properties of tracy-singh products for operator matrices
    (2018-01-01)
    Ploymukda, Arnon
    ;
    Chansangiam, Pattrawut
    ;
    Lewkeeratiyutkul, Wicharn
    We show that the Tracy-Singh product of Hilbert space operators is continuous with respect to the operator-norm topology. The Tracy-Singh product of two nonzero operators is compact if and only if both factors are compact. We provide upper and lower bounds for certain Schatten p-norms of the Tracy-Singh product of operators. It turns out that this product is continuous with respect to the topologies on norm ideals of compact operators, trace class operators, and Hilbert-Schmidt class operators. Thus the Tracy-Singh product preserves such classes of operators.
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    Khatri-Rao products and selection operators
    (2019-08-01)
    Ploymukda, Arnon
    ;
    Chansangiam, Pattrawut
    We develop further theory for Khatri-Rao products of Hilbert space operators in connections with selection operators. We provide two constructions related to selection operators. Then we establish certain identities and inequalities involving Khatri-Rao and Tracy-Singh products. As consequences, we obtain some characterizations for the mixed product property concerning the Khatri-Rao product of operators.
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    Algebraic and order properties of tracy-singh products for operator matrices
    (2018-01-01)
    Ploymukda, Arnon
    ;
    Chansangiam, Pattrawut
    ;
    Lewkeeratiyutkul, Wicharn
    We generalize the tensor product for operators to the Tracy-Singh product for operator matrices acting on the direct sum of Hilbert spaces. This kind of operator product is compatible with algebraic operations and order relations for operators. It follows that this product preserves many structure properties of operators.
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    Algebraic, order, and analytic properties of Tracy-Singh sums for Hilbert space operators
    (2019-07-01)
    Ploymukda, Arnon
    ;
    Chansangiam, Pattrawut
    We introduce the Tracy-Singh sum for operators on a Hilbert space, generalizing both the Tracy-Singh sum for matrices and the tensor sum for operators. The Tracy-Singh sum is shown to be compatible with algebraic operations and order relations. Then we establish a binomial theorem involving Tracy-Singh sums, and its consequences. We also investigate continuity, convergence, and norm bounds for Tracy-Singh sums. Moreover, we derive operator identities involving Tracy-Singh sums and certain operator functions defined by power series.