Infinite Matrices and Representation of Linear Operators Commuting with Shifts |
Common terms and phrases
admissible topology algebra an,j an,k analytic functions automatic continuity Banach space Bk,j bounded closed graph theorem coefficients column complex vector space convergence Corollary Let denotes differential operator divisors of zero entries equation equicontinuous exists a unique ɛ F f ɛ F-space finite formal power series Fréchet space function spaces Hadamard multiplication Hausdorff hence infinite matrices integer Köthe linear map linear operator linear subspace locally convex topology Math matrix multiplication multiplication operator normal Note operations with power operator that commutes polynomial power series multiplication Proof Proposition Let Proposition Suppose Sboa seminorms sequence spaces shift operator subalgebra subspace of F substitution operator tions topology defined translation weighted multiplication Xk,k Xn,j κε Σ Σ