Analysis of Operators on Function Spaces by Unknown

Author:Unknown
Language: eng
Format: epub
ISBN: 9783030146405
Publisher: Springer International Publishing

Remark 3.5

There are other, rather unexpected consequences of Theorem 3.4 as well. It was recently shown that the key determinant computation underlying Theorem 3.4 can be generalized to yield a new class of symmetric function identities for any formal power series. The only such identities previously known were for the case . This is discussed in the second part of this survey [10] and the full version [9, Section 4.6].

We next explain the steps behind the proof of the Horn–Loewner Theorem 3.4. These also help in proving certain strengthenings of Theorem 3.4, which are mentioned below. In turn, these strengthenings additionally serve to clarify the nature of the Horn–Loewner necessary condition.

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