Results 31 to 40 of about 70 (67)
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ON FUNCTIONS OF A POSITIVE OPERATOR
Mathematics of the USSR-Sbornik, 1984For functions , 0$ SRC=http://ej.iop.org/images/0025-5734/47/1/A02/tex_sm_2628_img2.gif/>, nondecreasing, and a positive operator in a Banach space, the operators and are constructed, their products and superpositions are investigated and the moment inequality as well as other estimates are proved. The results are generalized to the case when does
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Mathematics of the USSR-Sbornik, 1972
Let (x) be a convex downwards function, A > 0 a selfadjoint operator in a Hilbert space H, P an orthogonal projector in H; suppose DA PH is dense in PH, and let Ap be the Friedrichs extension of the operator PAP defined on DA PH. The inequality tr (Ap) ≤ tr (PAP) is proved. An estimate for the Jacobi θ-function and a distant generalization of the Szasz
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Let (x) be a convex downwards function, A > 0 a selfadjoint operator in a Hilbert space H, P an orthogonal projector in H; suppose DA PH is dense in PH, and let Ap be the Friedrichs extension of the operator PAP defined on DA PH. The inequality tr (Ap) ≤ tr (PAP) is proved. An estimate for the Jacobi θ-function and a distant generalization of the Szasz
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Choice Functions and Extensive Operators
Order, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vladimir I. Danilov, Gleb A. Koshevoy
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Numerical operations on oscillatory functions
Computers & Chemistry, 2001We consider some typical numerical operations on functions (differentiation, integration, solving differential equations, interpolation) and show how the standard algorithms can be modified to become efficient when the functions are oscillatory, of the form y(x) = f1(x) sin(omega x) + f2(x) cos(omega x) where f1(x) and f2(x) are smooth functions.
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A lipschitz operator for function strips
Computing, 1986For function strips defined by an arithmetic interval expression, Lipschitz operators are constructed.
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Operating on Functions with Variable Domains
Journal of Philosophical Logic, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2011
This chapter explains a number of basic operations, with a brief description of an algorithm, special cases and some experiments to do. This is not a complete set of operations but the core operations that are found in most systems.
Ian Anthony Stroud, Hildegarde Nagy
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This chapter explains a number of basic operations, with a brief description of an algorithm, special cases and some experiments to do. This is not a complete set of operations but the core operations that are found in most systems.
Ian Anthony Stroud, Hildegarde Nagy
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CONVERGENCE OF FUNCTIONS OF OPERATORS IN THE STRONG OPERATOR TOPOLOGY
Mathematical Proceedings of the Royal Irish Academy, 2007The authors of the paper under review show that if \(T\) is an operator on Hilbert space and \(f_\alpha\) is a net of functions such that the net \(f_\alpha(T)\) converges in the strong operator topology, then there exists a subsequence \(f_{\alpha_n}\) that converges uniformly on certain subsets of the spectrum of \(T\).
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2018
In this chapter, we will introduce TLA+ proper and use it to write more powerful specs with complex invariants. We’ve already been using some TLA+. All of our variables were defined in terms of TLA+ expressions. All of our values, sets, sequences, and structures were TLA+ expressions. All of our conditionals were TLA+ expressions.
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In this chapter, we will introduce TLA+ proper and use it to write more powerful specs with complex invariants. We’ve already been using some TLA+. All of our variables were defined in terms of TLA+ expressions. All of our values, sets, sequences, and structures were TLA+ expressions. All of our conditionals were TLA+ expressions.
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2018
The apparatus of functions of an operator was created to enable the free use of analogies between formulas involving numbers and formulas that involve operators. In this chapter we build this apparatus starting with polynomials in an operator, then extending the definition to continuous functions and finally to bounded Borel-measurable function of a ...
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The apparatus of functions of an operator was created to enable the free use of analogies between formulas involving numbers and formulas that involve operators. In this chapter we build this apparatus starting with polynomials in an operator, then extending the definition to continuous functions and finally to bounded Borel-measurable function of a ...
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