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PowerMajorization

Abstract

Power sums and finite Holder.

Weak log-majorization of nonnegative decreasing sequences implies domination of every positive power sum. Finite scalar Holder bounds the product of singular-value powers with positive exponents satisfying the reciprocal identity.

The source is Alex Meiburg’s Apache-2.0 Physlib at revision b9043cc548ef6d63a28454cf3a57fb12a0c2e142. These results support the Schatten product Holder inequality. No mathematical originality is claimed.

References