Conditions for Linear Dependence of Two Operators
The linear dependence property of two Hilbert space operators is expressed in terms of equality of size of values of certain sesquilinear and quadratic forms associated with the operators. The forms are based on qnumerical ranges.
KeywordsHilbert space linear operators linear dependence numerical values generalized numerical range
Mathematics Subject Classification (2000)Primary 47A12 Secondary 47A99
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- B. Kuzma, C.-K. Li, G. Lešnjak, T. Petek, and L. Rodman, Norm preservers of Jordan products, paper in preparation.Google Scholar