Results 11 to 20 of about 167 (46)
Inverting a matrix function around a singularity via local rank factorization [PDF]
, 2015 This paper proposes a recursive procedure, called the extended local rank factorization (elrf), that characterizes the order of the pole and the coefficients of the Laurent series representation of the inverse of a regular analytic matrix function around
Franchi, Massimo, Paruolo, Paolo
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A unifying approach to Weyl type theorems for Banach space operators [PDF]
, 2013 Weyl type theorems have been proved for a considerably large number of classes of operators. In this paper, by introducing the class of quasi totally hereditarily normaloid operators, we obtain a theoretical and general framework from which Weyl type ...
AIENA, Pietro, Guillen Jesus, Pena Pedro
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SVEP and local spectral radius formula for unbounded operators [PDF]
, 2014 In this paper we study the localized single valued extension property for an unbounded operator T. Moreover, we provide sufficient conditions for which the formula of the local spectral radius holds for these ...
Aiena, P., Trapani, C., Triolo, S.
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The P-Drazin İnverse for Operator Matrix Over Banach Algebras [PDF]
, 2020 An element a in a Banach algebra A has p-Drazin inverse provided that there exists b2 comm(a) such that b = b2a, ak ↋ ak+1b 2 J(A) for some k 2 N. In this paper, we present new conditions for a block operator matrix to have p-Drazin inverse.
Calci, Tuğçe Pekacar +3 more
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Properties of m-complex symmetric operators [PDF]
, 2017 In this paper, we study several properties of m-complex symmetric operators. In particular, we prove that if T ∈ L(H) is an m-complex symmetric operator and N is a nilpotent operator of order n > 2 with TN = NT , then T +N is a (2n+m−2)-complex ...
CHŌ, Muneo, KO, Eungil, LEE, Ji Eun
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Polynomial sequences of bounded operators [PDF]
, 2004 The basic results of spectral theory are obtained using the sequence of powers of a bounded linear operator T,T2,…,Tn,…. In this paper, we replace the powers Tn by certain polynomials pn(T), and make use of special properties of the polynomial sequence ...
Beltiţă, Daniel, Şabac, Mihai
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Singular value decay of operator-valued differential Lyapunov and Riccati equations
, 2018 We consider operator-valued differential Lyapunov and Riccati equations, where the operators $B$ and $C$ may be relatively unbounded with respect to $A$ (in the standard notation). In this setting, we prove that the singular values of the solutions decay
Stillfjord, Tony
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Early warning signs for SPDEs with continuous spectrum
European Journal of Applied MathematicsIn this work, we study early warning signs for stochastic partial differential equations (SPDEs), where the linearisation around a steady state is characterised by continuous spectrum. The studied warning sign takes the form of qualitative changes in the
Paolo Bernuzzi +2 more
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Notes on a class of operators with the localized single-valued extension property [PDF]
, 2023 This article concerns the permanence of the single valued extension property at a point under suitableperturbations for an unbounded operatorTon a particular integrity domain.
Triolo, Salvatore
core
Demonstratio MathematicaIf T1{{\mathbb{T}}}_{1} and T2{{\mathbb{T}}}_{2} are commuting dd-tuples of Hilbert space operators in B(ℋ)dB{\left({\mathcal{ {\mathcal H} }})}^{d} such that (T1*⊗I+I⊗T2*,T1⊗I+I⊗T2)\left({{\mathbb{T}}}_{1}^{* }\otimes I+I\otimes {{\mathbb{T}}}_{2}^{* },{
Duggal Bhagwati Prashad, Kim In Hyoun
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