Cosine of angle and center of mass of an operator

In: Mathematica Slovaca, vol. 62, no. 1

Kallol Paul - Gopal Das

Detaily:

Rok, strany: 2012, 109 - 122

Kľúčové slová:

antieigenvalues, accretive operator, orthogonality of bounded linear operators

DOI: https://doi.org/10.2478/s12175-011-0076-4

O článku:

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.

Ako citovať:

ISO 690:

Paul, K., Das, G. 2012. Cosine of angle and center of mass of an operator. In Mathematica Slovaca, vol. 62, no.1, pp. 109-122. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0076-4

APA:

Paul, K., Das, G. (2012). Cosine of angle and center of mass of an operator. Mathematica Slovaca, 62(1), 109-122. 0139-9918. DOI: https://doi.org/10.2478/s12175-011-0076-4

O vydaní: