hasDualSpace
P131886
predicate
Indicates that one mathematical space is the dual space consisting of all linear functionals defined on another space.
All labels observed (3)
| Label | Occurrences |
|---|---|
| dualSpace | 2 |
| dualSpaceIdentifiedWith | 1 |
| hasDualSpace canonical | 1 |
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: hasDualSpace
Generated description
Indicates that one mathematical space is the dual space consisting of all linear functionals defined on another space.
Sample triples (4)
| Subject | Object |
|---|---|
| Hardy space | H^q for 1 < p < ∞ with 1/p + 1/q = 1 ⓘ |
| Schwartz–Bruhat space | space of tempered distributions on the group via predicate surface "dualSpace" ⓘ |
| Schwartz space | tempered distributions via predicate surface "dualSpace" ⓘ |
| Weil–Petersson metric | holomorphic quadratic differentials via predicate surface "dualSpaceIdentifiedWith" ⓘ |