Spectral inclusion for unbounded diagonally dominant n x n operator matrices

Spectral inclusion for unbounded diagonally dominant n x n operator matrices
Daraja:
Oliy ta`lim
Turi:
Maqola
Til:
Ingliz tilida
Yaratilgan vaqti:
2021-04-20 01:45:35
In this paper, we establish an analytic enclosure for the spectrum of unbounded linear operators A admitting an n×n matrix representation in a Hilbert space H = H1 ⊕ ··· ⊕ Hn. For diagonally dominant operator matrices of order 0, we show that this new enclosing set, the block numerical range Wn(A), contains the eigenvalues of A and that the approximate point spectrum of A is contained in its closure Wn(A).

Дабавлено : 2021-04-20 01:45:35

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