Mathematics – Functional Analysis
Scientific paper
2010-07-29
Mathematics
Functional Analysis
to appear in Mathematica Slovaca
Scientific paper
We consider the notion of real center of mass and total center of mass of a bounded linear operator relative to another bounded linear operator and explore their relation with cosine and total cosine of a bounded linear operator acting on a complex Hilbert space. We give another proof of the Min-max equality and then generalize it using the notion of orthogonality of bounded linear operators. We also illustrate with examples an alternative method of calculating the antieigenvalues and total antieigenvalues for finite dimensional operators.
Das Gopal
Paul Kallol
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