Trace Ideals with Applications¶
Kostenko, A. Trace Ideals with Applications.
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Domain-specific¶
- Birman–Schwinger Principle
- In the standard attractive Schrödinger setting, the number of eigenvalues of `H` not exceeding `E` also equals the number of eigenvalues of `K(E)` at least `1`, counted with multiplicity.
This sourceLemma 4.1.1 and Proposition 4.1.1 state the eigenvalue-one, multiplicity, and counting forms and apply trace/Hilbert–Schmidt estimates.
- In the standard attractive Schrödinger setting, the number of eigenvalues of `H` not exceeding `E` also equals the number of eigenvalues of `K(E)` at least `1`, counted with multiplicity.
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