Báo cáo toán học: "Functional calculus and invariant subspaces " potx

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... explicit determination of root systems and lattices involved. 5 Acknowledgements We thank Ed Assmus, Michel Deza, and Vladimir Tonchev for sending us their preprints and Chris Charnes, Slava Grishukhin ... systems on 15 points. Recently, two algebraic invariants have been proposed to clas- sify them. Let V denote the 35 block vectors v i of length 15 and hamming weight 3 of such a sys...

Ngày tải lên: 07/08/2014, 06:20

... transposing theentries 0and1 atindices 1and2 of(µ + α)[ ] or by transposing the entries −2 and −3 at indices 3 and 4. The result can be written as (4, 3, 3, 2, 2)[ ] respectively as (4, 2, 4, 1, 3)[ ], and indeed ... Corollary. For λ, µ ∈Pand α ∈C, the Kostka number K λ/µ,α equals the number # SST(λ/µ, α) of semistandard tableaux of shape λ/µ and weight α ,and K  λ/µ,α is the number...

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... B), r A =min λ∈C σ min  (A ∗ −λI)K B  , r B =min λ∈σ(A) σ min (B ∗ K λ ), where K B and K λ are the matrices representing KerB and Ker(A ∗ − λI), and the formula of r AB is the result obtained in [4]. By the definitions, it is clear that r AB ≤ min{r A ,r B }, and the ... end of Sec. 3. And we also answer for the 498 D. C. Khanh and D. D. X. Thanh The stabilizability radii of sys...

Ngày tải lên: 06/08/2014, 05:20