Results 1 to 10 of about 1,410 (194)
System of Non-Linear Volterra Integral Equations in a Direct-Sum of Hilbert Spaces
Journal of Nigerian Society of Physical Sciences, 2022 We use the contraction mapping theorem to present the existence and uniqueness of solutions in a short time to a system of non-linear Volterra integral equations in a certain type of direct-sum H[a; b] of a Hilbert space V[a; b].
Jabar Hassan +2 more
doaj +2 more sources
Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces [PDF]
Journal of Mathematics, 2016 We introduce the notion of Khatri-Rao product for operator matrices acting on the direct sum of Hilbert spaces. This notion generalizes the tensor product and Hadamard product of operators and the Khatri-Rao product of matrices.
Arnon Ploymukda, Pattrawut Chansangiam
doaj +3 more sources
A spectral theory for certain operators on a direct sum of Hilbert spaces
Mathematische Annalen, 1966 Let ℌ p = v ⊕ ... ⊕ ℌ be the direct sum of the Hilbert space ℌ with itself p times. Linear maps y = Ax in ℌ p have the form y i = Σ a ij x i where a ij are linear maps in ℌ and there are many natural problems concerned with the discovery of those properties, enjoyed by the operators a ij , that are shared by the operator A.
Nelson Dunford, Dunford Nelson
exaly +4 more sources
Homomorphisms and direct sums of nested Hilbert spaces [PDF]
Communications in Mathematical Physics, 1967 We prove some elementary facts about homomorphisms and infinite direct sums of nested Hilbert spaces.
A Grossmann
exaly +3 more sources
Fusion frames and g-frames in tensor product and direct sum of Hilbert spaces
Applicable Analysis and Discrete Mathematics, 2012 In this paper we study fusion frames and g-frames for the tensor products and direct sums of Hilbert spaces. We show that the tensor product of a finite number of g-frames (resp. fusion frames, g-Riesz bases) is a g-frame (resp. fusion frame, g-Riesz basis) for the tensor product space and vice versa.
Amir Khosravi
exaly +3 more sources
SPECTRAL OPERATORS IN A DIRECT SUM OF HILBERT SPACES [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1963 Nelson Dunford, Dunford Nelson
exaly +3 more sources
Gap Between Operator Norm and Spectral Radius for the Square of Antidiagonal Block Operator Matrices
Communications in Advanced Mathematical Sciences, 2022 In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of
Elif Otkun Çevik
doaj +1 more source
Alexandria Engineering Journal, 2021 This paper proposes an advanced numerical-analytical approach for handling a class of fuzzy fractional differential equations involving Caputo-Fabrizio derivative with a non-singular kernel arsing in the medical sector. The solution methodology relies on
Nesrine Harrouche +3 more
doaj +1 more source
Multi-boundary entanglement in Chern-Simons theory with finite gauge groups
Journal of High Energy Physics, 2020 We study the multi-boundary entanglement structure of the states prepared in (1+1) and (2+1) dimensional Chern-Simons theory with finite discrete gauge group G.
Siddharth Dwivedi +3 more
doaj +1 more source
Inequalities for sums and direct sums of Hilbert space operators
Linear Algebra and its Applications, 2007 The authors investigate several singular value inequalities and norm inequalities involving sums and direct sums of operators. They prove the following nice Cauchy--Schwarz type inequality for singular values: \[ s_j \left(\sum_{i=1}^n A_iX_iB_i\right) \leq \left\| \sum_{i=1}^n| A_i^*| ^2\right\| ^{1/2} \left\| \sum_{i=1}^n| B_i| ^2\right\| ^{1/2} s_j ...
Hirzallah, Omar, Kittaneh, Fuad
openaire +1 more source