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A note on the commutativity and equality of two projections in the calkin algebra.
Author(s):
1. G. A. Khan: Mathematics Department, Gomal University, Dera Ismail Khan, Pakistan
2. G. Rehman: Mathematics Department, Gomal University, Dera Ismail Khan, Pakistan
3. M. Sailani: Mathematics Department, Gomal University, Dera Ismail Khan, Pakistan
Abstract:
In [3], it has been shown that if P and Q are any two projections in B(H) such that PQP = QPQ, then P and Q commute. The aim of this note is to show that the same proof yields when the underlying algebra is considered to be the Calkin algebra k( B(H)/K(H). Furthermore, an attempt is made to find the condition under which two projections could be equal.
Page(s): 1-3
DOI: DOI not available
Published: Journal: Gomal University Journal of Research, Volume: 11, Issue: 2, Year: 1991
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