isSelfAdjoint
P75150
predicate
Indicates that an operator is equal to its own adjoint (conjugate transpose), meaning it has the same effect as its Hermitian transpose in the given inner product space.
All labels observed (1)
| Label | Occurrences |
|---|---|
| isSelfAdjoint canonical | 5 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: isSelfAdjoint
Generated description
Indicates that an operator is equal to its own adjoint (conjugate transpose), meaning it has the same effect as its Hermitian transpose in the given inner product space.
Sample triples (5)
| Subject | Object |
|---|---|
| Hamiltonian (time translation generator) | true ⓘ |
| Dirac operator | formally self-adjoint ⓘ |
| Dirac operator | essentially self-adjoint on complete manifolds ⓘ |
| Hodge Laplacian | true ⓘ |
| Riesz transforms | false ⓘ |