Geodesic
New estimates for the numerical radius
Filomat, Tome 35 (2021) no. 14, p. 4957

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DOI

In this article, we present new inequalities for the numerical radius of the sum of two Hilbert space operators. These new inequalities will enable us to obtain many generalizations and refinements of some well known inequalities, including multiplicative behavior of the numerical radius and norm bounds. Among many other applications, it is shown that if T is accretive-dissipative, then 1√ 2 ‖T‖ ≤ ω (T) , where ω (·) and ‖·‖ denote the numerical radius and the usual operator norm, respectively. This inequality provides a considerable refinement of the well known inequality 12 ‖T‖ ≤ ω(T)
DOI : 10.2298/FIL2114957M
Classification : 47A12, 47A30, 15A60, 47B15
Keywords: Numerical radius, operator norm, accretive-dissipative operator 
Hamid Reza Moradi; Mohammad Sababheh. New estimates for the numerical radius. Filomat, Tome 35 (2021) no. 14, p. 4957 . doi: 10.2298/FIL2114957M
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     author = {Hamid Reza Moradi and Mohammad Sababheh},
     title = {New estimates for the numerical radius},
     journal = {Filomat},
     pages = {4957 },
     year = {2021},
     volume = {35},
     number = {14},
     doi = {10.2298/FIL2114957M},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114957M/}
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