A geometric characterization of range-kernel complementarity
نویسندگان
چکیده
We show that a bounded linear operator on Banach space with closed range has range-kernel complementarity if and only its generalized amplitude is less than $\pi$. An application to the strong convergence of iterations also given.
منابع مشابه
A Geometric Characterization: Complex Ellipsoids and the Bochner-martinelli Kernel
Boas’ characterization of bounded domains for which the Bochner-Martinelli kernel is self-adjoint is extended to the case of a weighted measure. For strictly convex domains, this equivalently characterizes the ones whose Leray-Aı̌zenberg kernel is self-adjoint with respect to weighted measure. In each case, the domains are complex linear images of a ball, and the measure is the Fefferman measure...
متن کاملinvestigating the feasibility of a proposed model for geometric design of deployable arch structures
deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...
Prediction of kordan river geometric changes in the meandering Range
Predictions of total and even partial changes in rivers patterns are as the most essential issues related to rivers geomorphology. In this regarding, a lot of researches have been done by geomorphologists. This research has explored Kordan River aqueduct morphology changes in bights areas of Afkaneh cone surface. Kordan river is the one which has been affected by various factors and has changed...
متن کاملLinear Complementarity Problems Based on Kernel Function
Exploring Complexity of Large Update Interior-Point Methods for ) k ( P* Linear Complementarity Problems Based on Kernel Function KEYVAN AMINI* M.REZA PEYGHAMI +,2 ∗ Department of Sciences, Razi University, Kermanshah, Iran + Department of Sciences, Khajeh Nasir Toosi (KNT) University of Technology, Tehran, Iran Abstract. Interior Point Methods not only are the most effective methods in practic...
متن کاملGeometric Parameters of Kernel Machines
We investigate the fat-shattering dimension and the localized Rademacher averages of kernel machines and their connection to the eigenvalues associated with the kernel.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2023
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2023.03.014