operatorische

Operatorische is a German adjective used in technical writing to denote a relation to operators. It derives from the noun Operator and the adjectival suffix -isch, and inflects according to German grammar (for example, operatorische Eigenschaften, operatorische Ausdrücke). In mathematics and logic, operatorische is used to describe properties, constructions, or methods that involve operators—such as linear, differential, or integral operators—or the expressions formed by applying operators to objects.

In mathematics, operatorische descriptions might refer to the action of an operator on a vector or function, its domain and range, or spectral properties. In logic and computer science, it can describe constructs built from operators (for example logical connectives or arithmetic operators) and their evaluation rules.

Usage notes: The term is specialized and most commonly found in German-language scholarly texts. The more general adjective operatorisch is often preferred for non-technical descriptions, while operatorische appears in compound noun phrases like operatorische Eigenschaften or operatorische Struktur. The English equivalents are operator-related, operatorial, or operator-based, but direct cognates depend on context.

Related terms include Operatorentheorie (operator theory), Operatorensystem, and broader mathematical literature that discusses operatorische Algebra or operatorische Methoden in various areas of analysis and algebra.