A problem of Dyer,Porcelli, and Rosenfeld |
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Authors: | John G Aiken |
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Institution: | (1) Department of Chemistry, Tulane University, 70118 New Orleans, Louisiana, USA |
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Abstract: | In this paper, we will demonstrate that a conjecture of Dyer, Porcelli, and Rosenfeld is correct. In fact, we will show that
ifM is any finite von Neumann factor andA is any non-zero element ofM, then there exists aT inM such that the spectrum ofT+A is disjoint from the spectrum ofT, i.e. such thatσ(T+A) ∩ σ(T)=φ. |
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Keywords: | |
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