Nonstandard finite-dimensional analogs of operators in \(L_ 2(R^ n)\)

DOI10.1007/BF00969731zbMath0718.47037MaRDI QIDQ2639322

E. I. Gordon

Publication date: 1988

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Fourier transformNonstandard analysis of the Hilbert-Schmidt operatorsnonstandard hulls of internal hyperfinite-dimensional Euclidean vector spaces over the complex numbers of a saturated model of a portion of set theory

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Nonstandard models in mathematics (03H05) Nonstandard functional analysis (46S20) Nonstandard operator theory (47S20) Nonstandard analysis (26E35)

Related Items (2)

Unnamed Item ⋮ The logarithmic derivative for resultants of systems of algebraic equations

Cites Work

• Hyperfinite Extensions of Bounded Operators on a Separable Hilbert Space
• Internal set theory: A new approach to nonstandard analysis
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