Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Bounds for uniform resolvent conditions
View through CrossRef
For a bounded linear operator on a Banach space, the uniform resolvent condition implies the absolute summability of the powers of the operator. In this paper, we study the bounds for the absolute sum of the powers of an operator that satisfies the uniform resolvent condition. Some known bounds on general Banach spaces as well as on finite-dimensional Banach spaces are improved.
Title: Bounds for uniform resolvent conditions
Description:
For a bounded linear operator on a Banach space, the uniform resolvent condition implies the absolute summability of the powers of the operator.
In this paper, we study the bounds for the absolute sum of the powers of an operator that satisfies the uniform resolvent condition.
Some known bounds on general Banach spaces as well as on finite-dimensional Banach spaces are improved.
Related Results
The Blue Beret
The Blue Beret
When we think of United Nations (UN) peacekeepers, the first image that is conjured in our mind is of an individual sporting a blue helmet or a blue beret (fig. 1). While simple an...
Transient growth of wavelet-based resolvent modes in the buffer layer of wall-bounded turbulence
Transient growth of wavelet-based resolvent modes in the buffer layer of wall-bounded turbulence
Abstract
In this work, we study the transient growth of the principal resolvent modes in the minimal flow unit using a reformulation of resolvent analysis in a time-...
Subexponential lower bounds for f-ergodic Markov processes
Subexponential lower bounds for f-ergodic Markov processes
AbstractWe provide a criterion for establishing lower bounds on the rate of convergence in f-variation of a continuous-time ergodic Markov process to its invariant measure. The cri...
Visualization of Casing Stress Characteristics under Non-Uniform In-situ Stress and Non-uniform Cement Sheath
Visualization of Casing Stress Characteristics under Non-Uniform In-situ Stress and Non-uniform Cement Sheath
Abstract
Casing damage is a common problem in oil and gas fields due to the complicated stress state of casing. Especially in the horizontal well section, the casing...
Generalized Airy operators
Generalized Airy operators
Abstract
We study the behaviour of the norm of the resolvent for non-self-adjoint operators of the form
$A := -\partial_x + W(x)$
, with
...
Lower Bounds on Mutual Information of QPSK and BPSK in General Memoryless channels
Lower Bounds on Mutual Information of QPSK and BPSK in General Memoryless channels
Abstract
We derive novel lower bounds on the mutual information in general memoryless channels with quadrature-phase-shift-keying (QPSK) or binary-phase-shift-keying (BPSK)...
Rigorous Asymptotic Perturbation Bounds for Hermitian Matrix Eigendecompositions
Rigorous Asymptotic Perturbation Bounds for Hermitian Matrix Eigendecompositions
In this paper, we present rigorous asymptotic componentwise perturbation bounds for regular Hermitian indefinite matrix eigendecompositions, obtained by the method of the splitting...
Effect of non-uniform soiling on solar panel output and revenue analyzed through controlled experiment
Effect of non-uniform soiling on solar panel output and revenue analyzed through controlled experiment
Non-uniform soiling drastically decreases the power generation of PV panels. Different events are responsible for the non-uniform soiling on PV panels for example bird droppings, s...