Conditions for linear dependence of two operators

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Abstract

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 q- numerical ranges.

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Kuzma, B., Lešnjak, G., Li, C. K., Petek, T., & Rodman, L. (2010). Conditions for linear dependence of two operators. In Operator Theory: Advances and Applications (Vol. 202, pp. 411–434). Springer International Publishing. https://doi.org/10.1007/978-3-0346-0158-0_23

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