Results 11 to 20 of about 394 (31)
On normal operator logarithms [PDF]
, 2013 Let $X,Y$ be normal bounded operators on a Hilbert space such that $e^X=e^Y$. If the spectra of $X$ and $Y$ are contained in the strip $\s$ of the complex plane defined by $|\Im(z)|\leq \pi$, we show that $|X|=|Y|$.
Chiumiento, Eduardo
core +3 more sources
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
doaj +1 more source
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
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
core +1 more source
An asymmetric Kadison's inequality [PDF]
, 2010 Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison's inequality and several operator versions of Chebyshev's inequality. We also discuss well-known results around the matrix geometric mean
Bourin, Jean-Christophe, Ricard, Éric
core +4 more sources
Decomposing numerical ranges along with spectral sets
, 2009 This note is to indicate the new sphere of applicability of the method developed by Mlak as well as by the author.
Szafraniec, F. H.
core +1 more source
The sectorial projection defined from logarithms
, 2011 For a classical elliptic pseudodifferential operator P of order m>0 on a closed manifold X, such that the eigenvalues of the principal symbol p_m(x,\xi) have arguments in \,]\theta,\phi [\, and \,]\phi, \theta +2\pi ...
Grubb, Gerd
core +1 more source
Fractional powers of non‐negative operators in Fréchet spaces
, 1988 International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 2, Page 309-320, 1989.
C. Martinez, M. Sanz, V. Calvo
wiley +1 more source
Exponentials of Bounded Normal Operators
, 2012 The present paper is mainly concerned with equations involving exponentials of bounded normal operators. Conditions implying commutativity of those normal operators are given. This is carried out without the known $2\pi i$-congruence-free hypothesis.
Chaban, Aicha, Mortad, Mohammed Hichem
core +1 more source
On positivity and roots in operator algebras [PDF]
, 2014 In earlier papers the second author and Charles Read have introduced and studied a new notion of positivity for operator algebras, with an eye to extending certain C*-algebraic results and theories to more general algebras.
Bearden, Clifford A. +2 more
core +1 more source