Remarks on theorems of Thompson and Freede
| Autor: | C. R. Perry, Ali R. Amir-Moéz |
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| Rok vydání: | 1971 |
| Předmět: | |
| Zdroj: | Bulletin of the Australian Mathematical Society. 5:221-225 |
| ISSN: | 1755-1633 0004-9727 |
| DOI: | 10.1017/s0004972700047092 |
| Popis: | Let A be a hermitian transformation on an n-dimensional unitary space En, with proper values a1 ≥ … ≥ an. Let M be a proper subspace of En. Suppose b1 ≥ … ≥ bh are the proper values of A/M and c1 ≥ … ≥ ck are the proper values of . Let i1. < … < ir and j1 < … < jr be sequences of positive integers, with ir ≤ k and jr ≤ h. then.This is a special case of one of the Thompson-Freede theorems which is proved by use of certain invariants. |
| Databáze: | OpenAIRE |
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