Operators on partial inner product spaces: towards a spectral analysis

DOI10.1007/s00009-014-0499-6zbMath1337.47002arXiv1409.3016OpenAlexW3105742125MaRDI QIDQ5964389

Camillo Trapani, Jean-Pierre Antoine

Publication date: 29 February 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3016

zbMATH Keywords

resolventframe multiplierslattices of Hilbert spacespartial inner product spacesspectral properties of symmetric operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (4)

Singular perturbations and operators in rigged Hilbert spaces ⋮ Operator (Quasi-)Similarity, Quasi-Hermitian Operators and All that ⋮ Reproducing pairs of measurable functions and partial inner product spaces ⋮ PIP-space valued reproducing pairs of measurable functions

Cites Work

• Riesz-like bases in rigged Hilbert spaces
• The partial inner product space method: a quick overview
• Basic definition and properties of Bessel multipliers
• Operators in rigged Hilbert spaces: some spectral properties
• Partial inner product spaces. Theory and applications
• Rigged Hilbert spaces in quantum mechanics
• Rigged Hilbert spaces and one-particle Schrödinger operators
• Multipliers for continuous frames in Hilbert spaces
• Frames, Semi-Frames, and Hilbert Scales
• Frames and semi-frames
• Dirac Formalism and Symmetry Problems in Quantum Mechanics. I. General Dirac Formalism
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