General numerical radius inequalities for matrices of operators

• Autorzy: Mohammed Al-Dolat , Khaldoun Al-Zoubi , Mohammed Ali , Feras Bani-Ahmad
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Numerical radius; Operator norm; Cartesian decomposition

Kategorie tematyczne

• 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 47A12: Numerical range, numerical radius
• 47A10: Spectrum, resolvent

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 109-117

Daty

wydano

2016-01-01

otrzymano

2015-09-02

zaakceptowano

2016-02-08

online

2016-03-01

Twórcy

autor

Mohammed Al-Dolat

• Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid 22110,

autor

Khaldoun Al-Zoubi

• Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid 22110,

autor

Mohammed Ali

• Department of Mathematics and Statistics, Jordan University of Science and Technology, P.O.Box 3030, Irbid 22110,

autor

Feras Bani-Ahmad

• Department of Mathematics, Hashemite University,

Identyfikatory

DOI

10.1515/math-2016-0011