Results 31 to 40 of about 43,448 (306)

Spectrum of the Direct Sum of Operators

Electronic Journal of Differential Equations, 2011
In this work, a connection between some spectral properties of direct sum of operators in the direct sum of Hilbert spaces and its coordinate operators has been investigated.
Elif Otkun Cevik, Zameddin I. Ismailov
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Continuous refinements of some Jensen-type inequalities via strong convexity with applications

Journal of Inequalities and Applications, 2022
In this paper we prove new continuous refinements of some Jensen type inequalities in both direct and reversed forms. As applications we also derive some continuous refinements of Hermite–Hadamard, Hölder, and Popoviciu type inequalities.
Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec   +2 more
doaj   +1 more source

On Direct Sums of Reflexive Operators [PDF]

Proceedings of the American Mathematical Society, 1976
Let A 1 {A_1}
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Direct sums of bilinear algorithms

, 1981
We consider the bilinear complexity of certain sets of bilinear forms. We study a class of direct sums of bilinear forms. For this class of problems we show that the bilinear complexity of one direct sum is the sum of the bilinear complexities of the ...
Winograd, S., Auslander, L., Feig, E.
core   +1 more source

On direct sums of reductive operators [PDF]

Proceedings of the American Mathematical Society, 1974
An example is given to show that the direct sum of two (distinct) reductive operators need not be reductive. The conjecture that A ⊕
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Inequalities for sums and direct sums of Hilbert space operators

, 2006
We prove several singular value inequalities and norm inequalities involving sums and direct sums of Hilbert space operators. It is shown, among other inequalities, that if X and Y are compact operators, then the singular values of X+Y2 are dominated by ...
Omar Hirzallah, Hirzallah, Omar, Kittaneh, Fuad, Fuad Kittaneh   +3 more
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Direct sums of reflexive modules

, 1996
The problem of determining when reflexivity is inherited by direct sums of reflexive modules over finite dimensional split algebras is addressed. We show that this holds if the algebra is left locally distributive, a class of algebras which includes ...
Watters, J.F., Fuller, K.R., Nicholson, W.K.   +2 more
core   +1 more source

Geometric Properties of Infinite Direct Sums

Mathematics
We show exactly when the topology of convergence in measure in Banach ideal spaces is linear (equivalently, coarser than the norm topology). Next, we present the relationship between the Kadets–Klee and suitable monotonicity properties with respect to ...
Paweł Kolwicz
doaj   +1 more source

Relative injectivity and CS-modules

International Journal of Mathematics and Mathematical Sciences, 1994
In this paper we show that a direct decomposition of modules M⊕N, with N homologically independent to the injective hull of M, is a CS-module if and only if N is injective relative to M and both of M and N are CS-modules. As an application, we prove that
Mahmoud Ahmed Kamal
doaj   +1 more source

Computing direct sum decompositions

Journal of Symbolic Computation
We describe and prove correctness of two practical algorithms for finding indecomposable summands of finitely generated modules over a finitely generated k-algebra R. The first algorithm applies in the (multi)graded case, which enables the computation of indecomposable summands of coherent sheaves on subvarieties of toric varieties (in particular, for ...
Devlin Mallory, Mahrud Sayrafi
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