About: On A-numerical radius inequalities for $2 /times 2$ operator matrices

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An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	On A-numerical radius inequalities for $2 /times 2$ operator matrices
Creator	Mishra, Debasisha Sahoo, Satyajit Rout, Nirmal
Source	ArXiv
abstract	Let ($/mathcal{H}, /langle . , ./rangle )$ be a complex Hilbert space and $A$ be a positive bounded linear operator on it. Let $w_A(T)$ be the $A$-numerical radius and $/\|T/\|_A$ be the $A$-operator seminorm of an operator $T$ acting on the semi-Hilbertian space $(/mathcal{H}, /langle .,./rangle_A),$ where $/langle x, y/rangle_A:=/langle Ax, y/rangle$ for all $x,y/in /mathcal{H}$. In this article, we establish several upper and lower bounds for $B$-numerical radius of $2/times 2$ operator matrices, where $B=/begin{bmatrix} A&0 0&A /end{bmatrix}$. Further, we prove some refinements of earlier $A$-numerical radius inequalities for operators.
has issue date	2020-04-16(xsd:dateTime)
has license	arxiv
sha1sum (hex)	f0daa3ec1577c0a45bc26291a2870aff65632501
resource representing a document's title	On A-numerical radius inequalities for $2 /times 2$ operator matrices
resource representing a document's body	covid:f0daa3ec1577c0a45bc26291a2870aff65632501#body_text
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