Theorems in functional analysis

T(1) theorem

In mathematics, the T(1) theorem, first proved by , describes when an operator T given by a kernel can be extended to a bounded linear operator on the Hilbert space L2(Rn). The name T(1) theorem refers to a condition on the distribution T(1), given by the operator T applied to the function 1. (Wikipedia).

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Adjoint | Bounded mean oscillation | Distribution (mathematics) | Hilbert space