Results 11 to 20 of about 444 (58)
On the consequences of a Mihlin-H\"ormander functional calculus: maximal and square function estimates [PDF]
, 2015 We prove that the existence of a Mihlin-H\"ormander functional calculus for an operator $L$ implies the boundedness on $L^p$ of both the maximal operators and the continuous square functions build on spectral multipliers of $L.$ The considered multiplier
Wróbel, Błażej
core +2 more sources
Continuity and general perturbation of the Drazin inverse for closed linear operators
Abstract and Applied Analysis, Volume 7, Issue 6, Page 335-347, 2002., 2002 We study perturbations and continuity of the Drazin inverse of a closed linear operator A and obtain explicit error estimates in terms of the gap between closed operators and the gap between ranges and nullspaces of operators. The results are used to derive a theorem on the continuity of the Drazin inverse for closed operators and to describe the ...
N. Castro González +2 more
wiley +1 more source
On further refinements for Young inequalities
Open Mathematics, 2018 In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
doaj +1 more source
On the weakly closed algebra generated by a unitary operator in a Pontryagin space
, 2018 This work is devoted to a study of a weakly closed algebra generated by polynomials of a unitary operator in a Pontryagin space. In particular, the inverse operator can belong or not to this algebra. The corresponding criteria is obtained.
V. Strauss
semanticscholar +1 more source
Regularized functional calculi, semigroups, and cosine functions for pseudodifferential operators
Abstract and Applied Analysis, Volume 2, Issue 1-2, Page 121-136, 1997., 1997 Let iAj(1 ≤ j ≤ n) be generators of commuting bounded strongly continuous groups, A ≡ (A1, A2, …, An). We show that, when f has sufficiently many polynomially bounded derivatives, then there exist k, r > 0 such that f(A) has a ‐regularized BCk(f(Rn)) functional calculus.
Ralph Delaubenfels, Yansong Lei
wiley +1 more source
On cross-correlation of a hyperfunction and a real analytic function
, 2015 We describe the cross-correlation operator over the space of realanalytic functions and generalize classic Schwartz’s theorem on shiftinvariant operators.
M. Patra, S. Sharyn
semanticscholar +1 more source
Chebyshev type inequalities for Hilbert space operators [PDF]
, 2014 We establish several operator extensions of the Chebyshev inequality. The main version deals with the Hadamard product of Hilbert space operators.
Mohammad Sal +2 more
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An Operator Extension of Čebyšev Inequality
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 Some operator inequalities for synchronous functions that are related to the čebyšev inequality are given. Among other inequalities for synchronous functions it is shown that ∥ø(f(A)g(A)) - ø(f(A))ø(g(A))∥ ≤ max{║ø(f2(A)) - ø2(f(A))║, ║ø)G2(A)) - ø2(g(A))
Moradi Hamid Reza +2 more
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Spectral multipliers for Laplacians with drift on Damek-Ricci spaces [PDF]
, 2013 We prove a multiplier theorem for certain Laplacians with drift on Damek-Ricci spaces, which are a class of Lie groups of exponential growth. Our theorem generalizes previous results obtained by W. Hebisch, G. Mauceri and S.
Ottazzi, Alessandro, Vallarino, Maria
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How to compare the absolute values of operator sums and the sums of absolute values
, 2012 We address the problem of comparing |A+B| and |A|+ |B| , for A,B ∈Mn(C) . Some results are obtained by using a technique of positive linear maps and several open questions are proposed.
Eun-young Lee
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