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Norm inequalities involving accretive-dissipative 2 x 2 block matrices

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dc.contributor.author Gümüş, İbrahim Halil
dc.contributor.author ve diğerleri...
dc.date.accessioned 2024-11-29T08:44:07Z
dc.date.available 2024-11-29T08:44:07Z
dc.date.issued 2017
dc.identifier.issn 0024-3795
dc.identifier.uri http://dspace.adiyaman.edu.tr:8080/xmlui/handle/20.500.12414/5539
dc.description.abstract Let T-11, T-12, T-21, and T-22 be n x n complex matrices, and let T = (sic) be accretive -dissipative. It is shown that if f is an increasing convex function on [0, infinity) such that f(0) = 0, then parallel to vertical bar f(vertical bar T-12 broken vertical bar(2)) +f (vertical bar T*(21)vertical bar(2))vertical bar parallel to <= vertical bar parallel to f (vertical bar T vertical bar(2))vertical bar parallel to for every unitarily invariant norm parallel to vertical bar.vertical bar parallel to Moreover, if f is an increasing concave function on [0, infinity) such that f(0) = 0, then vertical bar parallel to f (vertical bar T-12 vertical bar + f (vertical bar T*(21)vertical bar(2)) vertical bar parallel to <= 4 parallel to vertical bar f (vertical bar T vertical bar(2)/4)vertical bar parallel to for every unitarily invariant norm parallel to vertical bar.vertical bar parallel to Among other inequalities for the Schatten p -norms, it is shown that parallel to T-12 parallel to(p)(p) + parallel to T-21 parallel to(p)(p) <= 2(p-1) parallel to T-11 parallel to (p/2)(p) parallel to T-22 parallel to (p/2)(p) for p >= 2. tr
dc.language.iso en tr
dc.publisher Elsevier Science tr
dc.subject Accretive-dissipative matrix tr
dc.subject Function tr
dc.subject Inequality tr
dc.subject Schatten p-norm tr
dc.subject Singular value tr
dc.subject Unitarily invariant norm tr
dc.title Norm inequalities involving accretive-dissipative 2 x 2 block matrices tr
dc.type Article tr
dc.contributor.department Adıyaman Univ, Fac Arts & Sci, Dept Math, Adıyaman, Turkey tr
dc.identifier.endpage 93 tr
dc.identifier.startpage 76 tr
dc.identifier.volume 528 tr
dc.source.title Linear Algebra And Its Applications tr


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