Results 31 to 40 of about 181,839 (320)

Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space

open access: yesJournal of Function Spaces and Applications, 2013
We study some algebraic properties of Toeplitz operators with radial or quasihomogeneous symbols on the pluriharmonic Bergman space. We first give the necessary and sufficient conditions for the product of two Toeplitz operators with radial symbols to be
Jingyu Yang, Liu Liu, Yufeng Lu
doaj   +1 more source

The Rank Distribution of Sparse Random Linear Network Coding

open access: yesIEEE Access, 2019
Sparse random linear network coding (SRLNC) is a promising solution for reducing the complexity of random linear network coding (RLNC). RLNC can be modeled as a linear operator channel (LOC).
Wenlin Chen, Fang Lu, Yan Dong
doaj   +1 more source

Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers

open access: yesJournal of Function Spaces, 2020
Let E be a weighted Nakano sequence space or generalized Cesáro sequence space defined by weighted mean and by using s−numbers of operators from a Banach space X into a Banach space Y.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

Smoothness and approximative properties of solutions of the singular nonlinear Sturm-Liouville equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
It is known that the eigenvalues λn(n = 1, 2, ...) numbered in decreasing order and taking the multiplicity of the self-adjoint Sturm-Liouville operator with a completely continuous inverse operator L−1 have the following property (∗) λn → 0, when n → ∞,
M.B. Muratbekov, M.M. Muratbekov
doaj   +1 more source

Finite-Rank ADI Iteration for Operator Lyapunov Equations [PDF]

open access: yesSIAM Journal on Control and Optimization, 2013
We give an algorithmic approach to the approximative solution of operator Lyapunov equations for controllability. Motivated by the successfully applied alternating direction implicit (ADI) iteration for matrix Lyapunov equations, we consider this method for the determination of Gramian operators of infinite-dimensional control systems.
Opmeer, Mark R.   +2 more
openaire   +1 more source

The Completeness Criterion for Closure Operator with the Equality Predicate Branching on the Set of Multioperations on Two-Element Set

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
Multioperations are operations from a finite set A to set of all subsets of A. The usual composition operator leads to a continuum of closed sets. Therefore, the research of closure operators, which contain composition and other operations becomes ...
V.I. Panteleev, L. Riabets
doaj   +1 more source

Plane Wave Reverse Time Image for Nondestructive Tests

open access: yesIEEE Access, 2023
Reverse time migration (RTM) has been a popular method in industry duo to its ability of imaging complex subsurface and no dip restriction. However, RTM based on full matric capture (FMC) data is limited by the time cost of the calculation and cannot be ...
Wanqiu Zheng, Xiaohong Meng, Jian Wang
doaj   +1 more source

Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball

open access: yesJournal of Function Spaces and Applications, 2012
We consider when the product of two Toeplitz operators with some quasihomogeneous symbols on the Bergman space of the unit ball equals a Toeplitz operator with quasihomogeneous symbols.
Bo Zhang, Yufeng Lu
doaj   +1 more source

Dispersive estimates for four dimensional Schr\"{o}dinger and wave equations with obstructions at zero energy [PDF]

open access: yes, 2013
We investigate $L^1(\mathbb R^4)\to L^\infty(\mathbb R^4)$ dispersive estimates for the Schr\"odinger operator $H=-\Delta+V$ when there are obstructions, a resonance or an eigenvalue, at zero energy. In particular, we show that if there is a resonance or
M. Burak Erdoğan   +3 more
core   +1 more source

Finite rank operators in closed maximal triangular algebras II [PDF]

open access: yesProceedings of the American Mathematical Society, 2002
In this paper, we discuss finite rank operators in a closed maximal triangular algebra S {\mathcal {S}} . Based on the following result that each finite rank operator of S {\mathcal {S}} can be written as a finite sum of rank one operators each belonging to
Dong, Zhe, Lu, Shijie
openaire   +3 more sources

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