Results 131 to 140 of about 884 (163)

On irreducible operator*-algebras on Banach spaces

Acta Mathematica Hungarica, 1984
Let L(X) be the algebra of all bounded linear operators on a Banach space X. A subalgebra \({\mathcal B}\subset L(X)\) is called irreducible if for each pair x,\(y\in X\), \(x\neq 0\) there exists \(A\in {\mathcal B}\) such that \(Ax=y.\) A subalgebra \({\mathcal B}\subset L(X)\) is called strongly irreducible if for each \(y\in X\) there exists a ...
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Compact Operators on Banach Spaces

2010
In this chapter we study basic properties of compact operators on Banach spaces. We present the elementary spectral theory of compact operators in Banach spaces, including the spectral radius and properties of eigenvalues. Then we discus basic spectral properties of selfadjoint operators on Hilbert spaces, their spectral decomposition, and show some of
Marián Fabian, Petr Habala, Petr Hájek, Vicente Montesinos, Václav Zizler   +4 more
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Normal operators on Banach spaces

Glasgow Mathematical Journal, 1979
A (bounded, linear) operator H on a Banach space is said to be hermitian if ∥exp(itH)∥ = 1 for all real t. An operator N on is said to be normal if N = H + iK, where H and K are commuting hermitian operators. These definitions generalize those familiar concepts of operators on Hilbert spaces.
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Linear Operators on Banach Spaces

2013
Let \((\mathcal{X},\|\cdot \|)\) and \((\mathcal{Y},\|\cdot \|_{1})\) be two Banach spaces over the same field \(\mathbb{F}\). A mapping \(A: D(A) \subset \mathcal{X} \rightarrow \mathcal{Y}\) satisfying $$\displaystyle{A(\alpha x +\beta y) =\alpha Ax +\beta Ay}$$ for all x,y∈D(A) and \(\alpha,\beta \in \mathbb{F}\), is called a linear operator ...
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The bounded additive operation on Banach space

Proceedings of the American Mathematical Society, 1951
In his book on the theory of linear operations (p. 54) Banach proves that an additive operation U on a normed linear space to another is continuous (hence, linear, at least for real spaces) if and only if it satisfies the Lipschitz condition I U(x) I
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Commutators of operators on Banach spaces

2002
In the paper under review, one investigates Banach space versions of the fact that every bounded linear operator on a complex infinite-dimensional Hilbert space is the sum of two commutators. Thus, one finds out that the same fact holds when the Hilbert space is replaced by one of the Banach spaces \(c_0\), \(C([0,1])\), \(\ell_p\) or \(L_p([0,1 ...
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
exaly  

Operators on Banach Spaces

2023
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Bilinear Operators on Ball Banach Function Spaces

The Journal of Geometric Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Obesity and adverse breast cancer risk and outcome: Mechanistic insights and strategies for intervention

Ca-A Cancer Journal for Clinicians, 2017
Cynthia Morata-Tarifa, Joyce M Slingerland   +1 more
exaly