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Mathematics > Functional Analysis

arXiv:1007.5224 (math)
[Submitted on 29 Jul 2010]

Title:Cosine of angle and center of mass of an operator

Authors:Kallol Paul, Gopal Das
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Abstract: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.
Comments: to appear in Mathematica Slovaca
Subjects: Functional Analysis (math.FA)
MSC classes: 47B44, 47B44, 47A63
Cite as: arXiv:1007.5224 [math.FA]
  (or arXiv:1007.5224v1 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.1007.5224
Journal reference: Math. Slovaca 62 (2012) 109-122
Related DOI: https://doi.org/10.2478/s12175-009-0171-y

Submission history

From: Kallol Paul [view email]
[v1] Thu, 29 Jul 2010 14:18:24 UTC (9 KB)
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