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The Linearized Collision Operator
1969In Chapter II we found a solution of the Boltzmann equation, i.e., the Maxwellian. It is an exact solution of the Boltzmann equation and practically the only known exact solution [another solution is due to Ikenberry and Truesdell (see ref. 1) but is interesting only for illustrative purposes].
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2014
In chapter 3 we establish some basic concepts on linear operators in Banach spaces. The results developed include spectral analysis for bounded and unbounded self-adjoint operators.
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In chapter 3 we establish some basic concepts on linear operators in Banach spaces. The results developed include spectral analysis for bounded and unbounded self-adjoint operators.
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Semigroups of Linear Operators
1971In this chapter we present an introductory treatment of the theory of semigroups of linear operators over a Hilbert space, emphasizing those aspects which are of importance in applications. As a rule we shall not strive for generality and instead shall dwell on special classes of semigroups such as compact semigroups and Hilbert-Schmidt semigroups ...
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Interpolation of Linear Operators
Journal of Soviet Mathematics, 1988S. Krein, Ju. Petunin, E. Semenov
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2017
In this chapter the study of linear mappings between normed linear spaces is begun, with the emphasis being on the case of bounded linear mappings on a Hilbert space. A number of specific examples are given and studied in detail. In the case of a bounded linear mapping on a Hilbert space, the adjoint operator is motivated and defined.
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In this chapter the study of linear mappings between normed linear spaces is begun, with the emphasis being on the case of bounded linear mappings on a Hilbert space. A number of specific examples are given and studied in detail. In the case of a bounded linear mapping on a Hilbert space, the adjoint operator is motivated and defined.
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Linear Operators and Approximation
Mathematics of Computation, 1974B. Sz.-Nagy +3 more
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On models for linear operators
Communications on Pure and Applied Mathematics, 1960openaire +2 more sources