Comment on 'A note on the infimum problem of Hilbert space effects' [J. Math. Phys. 47, 102103 (2006)]

Journal Article · Thu Nov 15 00:00:00 EST 2007 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2816276· OSTI ID:21013783

Gheondea, Aurelian ^[1]

---

1. Department of Mathematics, Bilkent University, Bilkent, Ankara 06800 Turkey and Institutul de Matematica al Academiei Romane, C.P. 1-764, 014700 Bucharest (Romania)

We show that the two main results of the article [J. Math. Phys. 47, 102103 (2006)] have very short proofs as direct consequences of the solution to the infimum problem for bounded non-negative operators in a Hilbert space given by T. Ando [Analytic and Geometric Inequalities and Applications, Mathematical Applications Vol. 478 (Kluwer Academic, Dordrecht, 1999)] and a formula for the shorted operator obtained by H. Kosaki ['Remarks on Lebesgue-type decomposition of positive operators', J. Oper. Theory 11, 137-143 (1984)].

• OSTI ID: 21013783
• Journal Information: Journal of Mathematical Physics, Vol. 48, Issue 11; Other Information: DOI: 10.1063/1.2816276; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HILBERT SPACE
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
QUANTUM MECHANICS