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Norm inequalities for sums of two basic elementary operators
Authors:Mohamed Boumazgour
Institution:Faculté des Sciences Juridiques, Economiques et Sociales, B.P. 8658 Cité Dakhla, Agadir, Morocco
Abstract:We use certain norm inequalities for 2×2 operator matrices to establish norm inequalities for sums of two basic elementary operators on a Hilbert space. Further, we give necessary and sufficient conditions under which the norm of the above sum of elementary operators attains its optimal value. Applications of the inequalities obtained are also considered.
Keywords:Norm  Elementary operators  Numerical ranges  _method=retrieve&  _eid=1-s2  0-S0022247X07013728&  _mathId=si2  gif&  _pii=S0022247X07013728&  _issn=0022247X&  _acct=C000053510&  _version=1&  _userid=1524097&  md5=348e66dc3b0d91892b3be0958a5581ea')" style="cursor:pointer  C&lowast" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">C&lowast  -algebras
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