Submultiplicativity refers to a property of norms in functional analysis where the norm of the product of two operators is less than or equal to the product of their norms. This concept is crucial for understanding the behavior of linear operators, particularly when dealing with continuity and boundedness. It establishes a control on how the operator norms interact, ensuring that the composition of operators does not lead to uncontrolled growth in size, thereby facilitating analysis and calculations involving operators.
congrats on reading the definition of submultiplicativity. now let's actually learn it.