Category: Hilb

Hilb is the category whose objects are Hilbert spaces and arrows are short linear maps.

Facts Derived from Enrichment

Every object in Hilb is a Banach algebra (enriched in Ban_k).

Notable Subcategories

• FinHilb (full)
• Hilb (contravariant equivalence)
• Hilb₀ (core)

Limits

Has a terminal object

Colimits

Has an initial object

categories: Hilb

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