scholarly journals Microspectral analysis of quasinilpotent operators

2017 ◽  
Vol 112 ◽  
pp. 281-306
Author(s):  
Jarmo Malinen ◽  
Olavi Nevanlinna ◽  
Jaroslav Zemánek
Keyword(s):  
Microspectral Analysis ◽  
Quasinilpotent Operators

Simultaneous Triangularization of Algebras of Polynomially Compact Operators

1991 ◽  
Vol 34 (2) ◽  
pp. 260-264 ◽  
Author(s):  
M. Radjabalipour
Keyword(s):  
Hilbert Space ◽  
Jacobson Radical ◽  
Compact Operators ◽  
General Algebra ◽  
Closed Algebra ◽  
Quasinilpotent Operators ◽  
Simultaneous Triangularization

AbstractIf A is a norm closed algebra of compact operators on a Hilbert space and if its Jacobson radical J(A) consists of all quasinilpotent operators in A then A/ J(A) is commutative. The result is not valid for a general algebra of polynomially compact operators.

Quasispectral subspaces of quasinilpotent operators

1984 ◽  
Vol 98 (3-4) ◽  
pp. 349-354 ◽  
Author(s):  
Matjaž Omladič
Keyword(s):  
Banach Space ◽  
Volterra Operator ◽  
Space Operator ◽  
Definition Of ◽  
Quasinilpotent Operators

SynopsisWe give a definition of “quasispectral maximalč subspaces for a quasinilpotent, but not nilpotent, bounded Banach space operator. The definition applies to a class of operators, close to the Volterra operator.

On the Roughness of Quasinilpotency Property of One-parameter Semigroups

2017 ◽  
Vol 60 (2) ◽  
pp. 364-371 ◽  
Author(s):  
Ciprian Preda
Keyword(s):  
Dynamical Systems ◽  
Systems Theory ◽  
Infinitesimal Generator ◽  
Autonomous Systems ◽  
Dynamical Systems Theory ◽  
Extinction Property ◽  
Quasinilpotent Operators ◽  
Strong Concept ◽  
Time Extinction

AbstractLet S := {S(t)}t≥0 be a C0-semigroup of quasinilpotent operators (i.e., σ(S(t)) = {0} for eacht> 0). In dynamical systems theory the above quasinilpotency property is equivalent to a very strong concept of stability for the solutions of autonomous systems. This concept is frequently called superstability and weakens the classical ûnite time extinction property (roughly speaking, disappearing solutions). We show that under some assumptions, the quasinilpotency, or equivalently, the superstability property of a C0-semigroup is preserved under the perturbations of its infinitesimal generator.

A laser-erosion collector for microspectral analysis of solid inorganic materials

1998 ◽  
Vol 65 (6) ◽  
pp. 879-882
Author(s):  
A. N. Tumanova ◽  
N. K. Rudnevskii ◽  
É. V. Maksimova ◽  
N. N. Vyshinskii
Keyword(s):  
Inorganic Materials ◽  
Microspectral Analysis ◽  
Laser Erosion

scholarly journals On quasinilpotent operators

2003 ◽  
Vol 131 (7) ◽  
pp. 2121-2127 ◽  
Author(s):  
Il Bong Jung ◽  
Eungil Ko ◽  
Carl Pearcy
Keyword(s):  
Quasinilpotent Operators

scholarly journals A continuous model for quasinilpotent operators

2016 ◽  
Vol 284 (3-4) ◽  
pp. 781-790
Author(s):  
Eva A. Gallardo-Gutiérrez ◽  
Jonathan R. Partington ◽  
Daniel J. Rodríguez
Keyword(s):  
Continuous Model ◽  
Quasinilpotent Operators

scholarly journals Spectral approximants of normal operators

1974 ◽  
Vol 19 (1) ◽  
pp. 51-58 ◽  
Author(s):  
P. R. Halmos
Keyword(s):  
Hilbert Space ◽  
Open Problem ◽  
Stability Theory ◽  
Spectral Approximation ◽  
Normal Operators ◽  
Empty Subset ◽  
The Stability ◽  
The Right ◽  
Quasinilpotent Operators

For each non-empty subset Λ of the complex plane, let (Λ) be the set of all those operators (on a fixed Hilbert space H) whose spectrum is included in Λ. The problem of spectral approximation is to determine how closely each operator on H can be approximated (in the norm) by operators in (Λ). The problem appears to be connected with the stability theory of certain differential equations. (Consider the case in which Λ is the right half plane.) In its general form the problem is extraordinarily difficult. Thus, for instance, even when Λ is the singleton {0}, so that (Λ) is the set of quasinilpotent operators, the determination of the closure of (Λ) has been an open problem for several years (3, Problem 7).

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