Characterization of 2-summing operators in Krein spaces

Authors

  • Wilbroad Bezire Moi University, Kenya

Keywords:

Krein space, inner product space, bounded linear operator, absolutely 2-summing operators

Abstract

Let A be a bounded linear operator and absolutely 2-summing on a Krein space K, with the canonical decomposition. In this paper, we prove that the elements in the matrix decomposition of A are absolutely 2-summing. We characterize 2-summing operators in Krein spaces using a fixed fundamental decomposition.

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Published

2023-01-15

Issue

Section

Articles