Geometric interpolation between Hilbert spaces

DOI10.1007/BF02384878zbMath0785.46060OpenAlexW2057107308MaRDI QIDQ2365894

John E. McCarthy

Publication date: 29 June 1993

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384878

zbMATH Keywords

interpolationadjointnessgeometric scale of Hilbert spaces interpolating between two given spacesKrein subnormalityrepresentation theorem for cyclic Krein subnormal operators

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Related Items

Interpolation of approximation numbers between Hilbert spaces ⋮ Compactness-like operator properties preserved by complex interpolation ⋮ Corrigendum: Interpolation of Hilbert and Sobolev spaces: Quantitative estimates and counterexamples ⋮ The transmission problem on a three-dimensional wedge ⋮ Compact differences of composition operators on weighted Dirichlet spaces ⋮ Complex symmetric operators and interpolation ⋮ High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis ⋮ INTERPOLATION OF HILBERT AND SOBOLEV SPACES: QUANTITATIVE ESTIMATES AND COUNTEREXAMPLES

Cites Work

• Normal extensions of operators to Krein spaces
• Real and complex interpolation and extrapolation of compact operators
• Nearly subnormal operators and moment problems
• On a class of interpolation spaces
• The interpolation of quadratic norms
• Interpolation Between Weighted Hardy Spaces
• SCALES OF BANACH SPACES
• Infinitely Divisible Positive Definite Sequences
• Intermediate spaces and interpolation, the complex method
• Approximation in the mean by polynomials
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