Results 31 to 40 of about 736 (56)
Matrix subadditivity inequalities and block-matrices [PDF]
arXiv, 2008 Several subadditivity results and conjectures are given for matrices (or operators), block-matrices, concave functions and norms.
arxiv
Spectral calculations on locally convex vector spaces I [PDF]
Acta Sci. Math. (Szeged), 78 (2012), pp. 643--667, 2006 We develop a holomorphic functional calculus for (multivalued linear) operators on locally convex vector spaces. This includes the case of fractional powers along Lipschitz curves.
arxiv
On Some Numerical Radius Inequalities for Hilbert Space Operators [PDF]
arXiv, 2020 This article is devoted to studying some new numerical radius inequalities for Hilbert space operators. Our analysis enables us to improve an earlier bound of numerical radius due to Kittaneh.
arxiv
Remarks on functional calculus for perturbed first order Dirac operators
, 2013 We make some remarks on earlier works on $R-$bisectoriality in $L^p$ of perturbed first order differential operators by Hyt\"onen, McIntosh and Portal. They have shown that this is equivalent to bounded holomorphic functional calculus in $L^p$ for $p$ in
N Kalton +4 more
core +1 more source
On the Representation of Holomorphic Functions on Polyhedra [PDF]
arXiv, 2011 We generalize the Oka extension theorem, and obtain bounds on the norm of the extension, by using operator theory.
arxiv
Non commutative functional calculus: bounded operators [PDF]
, 2007 In this paper we develop a functional calculus for bounded operators defined on quaternionic Banach spaces. This calculus is based on the notion of slice-regularity, see \cite{gs}, and the key tools are a new resolvent operator and a new eigenvalue problem.
arxiv +1 more source
Foundations of Free Noncommutative Function Theory [PDF]
arXiv, 2012 The goal of this work is to develop, in a systematic way and in a full natural generality, the foundations of a theory of functions of (free) noncommuting variables.
arxiv
What does a rate in a mean ergodic theorem imply? [PDF]
arXiv, 2013 We develop a general framework for the inverse mean ergodic theorems with rates for operator semigroups thus completing a construction of the theory initiated in [16] and [17].
arxiv
Spectral Theorem for definitizable normal linear operators on Krein spaces [PDF]
arXiv, 2015 In the present note a spectral theorem for normal definitizable linear operators on Krein spaces is derived by developing a functional calculus $\phi \mapsto \phi(N)$ which is the proper analogue of $\phi \mapsto \int \phi \, dE$ in the Hilbert space situation.
arxiv
Definitizability of normal operators on Krein spaces and their functional calculus [PDF]
arXiv, 2016 We discuss a new concept of definitizability of a normal operator on Krein spaces. For this new concept we develop a functional calculus $\phi \mapsto \phi(N)$ which is the proper analogue of $\phi \mapsto \int \phi \, dE$ in the Hilbert space situation.
arxiv