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General numerical radius inequalities for matrices of operators

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Al-Dolat M., Al-Zoubi K., Ali M., Bani-Ahmad F.

Open Mathematics

2016

tom 14

nr 1

109-117

Let Ai ∈ B(H), (i = 1, 2, ..., n), and [...] T=[ 0 ⋯ 0 A 1 ⋮ ⋰ A 2 0 0 ⋰ ⋰ ⋮ A n 0 ⋯ 0 ] $ T = \left[ {\matrix{ 0 & \cdots & 0 & {A_1 } \cr \vdots & {\mathinner{\mkern2mu\raise1pt\hbox{.}\mkern2mu \raise4pt\hbox{.}\mkern2mu\raise7pt\hbox{.}\mkern1mu}} & {A_2 } & 0 \cr 0 & {\mathinner{\mkern2mu\raise1pt\hbox{.}\mkern2mu \raise4pt\hbox{.}\mkern2mu\raise7pt\hbox{.}\mkern1mu}} & {\mathinner{\mkern2mu\raise1pt\hbox{.}\mkern2mu \raise4pt\hbox{.}\mkern2mu\raise7pt\hbox{.}\mkern1mu}} & \vdots \cr {A_n } & 0 & \cdots & 0 \cr } } \right] $ . In this paper, we present some upper bounds and lower bounds for w(T). At the end of this paper we drive a new bound for the zeros of polynomials.

Ograniczanie wyników

1 Open Mathematics

1 Al-Dolat M.

1 Al-Zoubi K.

1 Ali M.

1 Bani-Ahmad F.

1 2016

Wyniki wyszukiwania

General numerical radius inequalities for matrices of operators