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Some equivalent metrics for bounded normal operators

Mohammad Reza Jabbarzadeh, Rana Hajipouri

Received December 5, 2016.   First published October 16, 2017.

Abstract: Some stronger and equivalent metrics are defined on $\mathcal{M}$, the set of all bounded normal operators on a Hilbert space $H$ and then some topological properties of $\mathcal{M}$ are investigated.

Keywords: Hilbert space; normal operator; equivalent metrics; composition operator

Classification (MSC 2010): 47A05

DOI: 10.21136/MB.2017.0101-16

Full text available as PDF.

References:
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