Some remarks on the resemblance theorems associated with various orthonormalization procedures


  • Per-Olov Löwdin

    1. Uppsala Quantum Chemistry Group, Box 518, S-75120, Uppsala, Sweden
    2. Quantum Theory Project, 362 Williamson Hall, University of Florida, Gainesville, Florida 32611
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    • Professor Emeritus at Uppsala University, Uppsala, Sweden, and Graduate Research Professor Emeritus at the University of Florida.


A survey is given of the resemblance theorems associated with various types of orthonormalization procedures having different kinds of symmetry properties appearing in the current literature. It is shown that the proofs for the minimum properties are closely connected with the fact that the Hilbert–Schmidt norm of an operator is always nonnegative and has the lowest value equal to zero. © 1993 John Wiley & Sons, Inc.