EP modular operators and their products

Abstract

We study first EP modular operators on Hilbert C*-modules and then we provide necessary and sufficient conditions for the product of two EP modular operators to be EP. These enable us to extend some results of Koliha [{\it Studia Math.} {\bf 139} (2000), 81--90.] for an arbitrary C*-algebra and the C*-algebras of compact operators.

10 pages, some typos were made, misprints: "closeness" changes to "closedness" and in Lemma 3.1. "Then S" changes to "If T is normal or EP, then S". arXiv admin note: text overlap with arXiv:1010.4574

References in corpus (5)

• Characterizing C*-algebras of compact operators by generic categorical properties of Hilbert C*-modules
• Adjointability of densely defined closed operators and the Magajna-Schweizer Theorem
• Generalized inverses and polar decomposition of unbounded regular operators on Hilbert $C^{\ast }$-modules
• The product of operators with closed range in Hilbert C*-modules
• Normality of adjointable module maps

Cited by in corpus (1)

• Some examples of EP operators