Results 1 to 10 of about 1,434,936 (326)
Weak-type endpoint bounds for Bochner–Riesz means for the Hermite operator [PDF]
Comptes Rendus. Mathématique, 2022 We obtain weak-type $(p, p)$ endpoint bounds for Bochner–Riesz means for the Hermite operator $H = -\Delta + |x|^2$ in ${\mathbb{R}}^n, n\ge 2$ and for other related operators, for $1\le p\le 2n/(n+2)$, extending earlier results of Thangavelu and of ...
Chen, Peng +3 more
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Operators with hypercyclic Cesaro means [PDF]
Studia Mathematica, 2002 Let \(T\) be a bounded linear operator on complex Banach space \(B\) and consider the arithmetic means \(M_n(T)= (I+ T+\cdots+ T^{n-1})/n\). The operator \(T\) is said to be hypercyclic if there exists a vector \(x\) in \(B\) such that the orbit \(\{T^n x\}\) is dense in \(B\).
Fernando León-Saavedra
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Second order arithmetic means in operator ideals [PDF]
, 2007 Equality of the second order arithmetic means of two principal ideals does not imply equality of their first order arithmetic means (second order equality cancellation).
Victor Kaftal, Gary Weiss
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Convex multivariate operator means [PDF]
Linear Algebra and its Applications, 2018 The dominant method for defining multivariate operator means is to express them as fix-points under a contraction with respect to the Thompson metric. Although this method is powerful, it crucially depends on monotonicity.
Hansen, Frank
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Maximal operators of Vilenkin-Nörlund means [PDF]
Journal of Fourier Analysis and Applications, 2015 In this paper we prove and discuss some new $\left(H_{p},weak-L_{p}\right) $ type inequalities of maximal operators of Vilenkin-N rlund means with monotone coefficients. We also apply these results to prove a.e. convergence of such Vilenkin-N rlund means. It is also proved that these results are the best possible in a special sense.
Per O. Å. Persson +2 more
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Criteria for monotonicity of operator means [PDF]
Journal of the Mathematical Society of Japan, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mitsuru Uchiyama
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The Generalized Inequalities via Means and Positive Linear Mappings [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we establish further improvements of the Young inequality and its reverse. Then, we assert operator versions corresponding them. Moreover, an application including positive linear mappings is given.
Leila Nasiri, Mehdi Shams
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OPERATOR MEANS IN JB-ALGEBRAS [PDF]
Reports on Mathematical Physics, 2021 In this paper, the notion of operator means in the setting of JB-algebras is introduced and their properties are studied. Many identities and inequalities are established, most of them have origins from operators on Hilbert space but they have different forms and connotations, and their proofs require techniques in JB-algebras.
Wang, Shuzhou, Wang, Zhenhua
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Classification of operators by means of their operational calculus [PDF]
Transactions of the American Mathematical Society, 1965 Shmuel Kantorovitz
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Inequalities of Ando's Type for $n$-convex Functions [PDF]
Sahand Communications in Mathematical Analysis, 2020 By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class ...
Rozarija Mikic, Josip Pečarić
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