nLab coherent product

Definition

A coherent product on an inhabited set $Z$ is a binary function $k:Z \times Z \to \mathbb{C}$ of positive type.

An inhabited set equipped with the structure of a coherent product is a coherent space

Examples

• The inner product of every Euclidean space is a coherent product.

See also

• inner product space

References

• Arnold Neumaier, Introduction to coherent spaces, (arXiv:1804.01402)

• Arnold Neumaier, Coherent Quantum Physics: A Reinterpretation of the Tradition, 1st edition, De Gruyter, 2019. ISBN:9783110667295