Results 21 to 30 of about 1,019,555 (298)
Analytic Families of Self-Adjoint Compact Operators Which Commute with Their Derivative
Communications in Advanced Mathematical Sciences, 2020 Spectral properties of analytic families of compact operators on a Hilbert space are studied. The results obtained are then used to establish that an analytic family of self-adjoint compact operators on a Hilbert space $\mathcal{H},$ which commute with ...
Abdelaziz Maouche
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Compactness properties of operators dominated by AM-compact operators [PDF]
Proceedings of the American Mathematical Society, 2007 Based on work of Fremlin, the authors study the domination problem for the class of AM-compact oeprators. Let \(E\) be an arbitrary Banach lattice and let \(S\) and \(T\) be two operators from \(E\) into \(E\) such that \(0\leq S\leq T\) and \(T\) is AM-compact. Then it is shown that \(S^2\) is AM-compact.
Aqzzouz, Belmesnaoui +2 more
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Beurling-Landau's density on compact manifolds [PDF]
, 2012 Given a compact Riemannian manifold $M$, we consider the subspace of $L^2(M)$ generated by the eigenfunctions of the Laplacian of eigenvalue less than $L\geq1$.
Ortega-Cerdà, Joaquim +2 more
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The Gâteaux derivative and orthogonality in C∞
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 The general problem in this paper is minimizing the C∞− norm of suitable affine mappings from B(H) to C∞, using convex and differential analysis (Gateaux derivative) as well as input from operator theory.
Mecheri Salah, Mecheri Hacene
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Weighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we provide a complete description of weighted composition operators between extended Lipschitz algebras on compact metric spaces. We give necessary and sufficient conditions for the injectivity and the sujectivity of these operators.
Reyhaneh Bagheri, Davood Alimohammadi
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An extension of compact operators by compact operators with no nontrivial multipliers [PDF]
Journal of Noncommutative Geometry, 2018 We construct a noncommutative, separably represented, type I and approximately finite dimensional C^* -algebra such that its multiplier algebra is equal to its unitization. This algebra is an essential extension of the algebra
Ghasemi, S. (Saeed), Koszmider, P.
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The Bidual of the Compact Operators [PDF]
Transactions of the American Mathematical Society, 1985 For a Banach space X, let \(X^*\) be the dual, B(X) the Banach algebra of bounded linear operators, and \(B_ F(X)\), \(B_ K(X)\) and \(B_ I(K)\) the ideals of finite rank, compact, and integrable operators, respectivly. \textit{A. Grothendieck} [Mem. Am. Math. Soc. 16, 140 p.
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The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators
Abstract and Applied Analysis, 2007 The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators.
A. Niknam, K. Sharifi
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Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary
Advances in Mathematical Physics, 2020 In this paper, we give two Lichnerowicz-type formulas for modified Novikov operators. We prove Kastler-Kalau-Walze-type theorems for modified Novikov operators on compact manifolds with (respectively without) a boundary.
Sining Wei, Yong Wang
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Operators $\alpha $-commuting with a compact operator [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: We update a question raised by Pearcy and Shields ('74) concerning the invariant subspace problem on Hilbert spaces.
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