Invariant subspaces of a normal operator

DOI10.1215/S0012-7094-59-02609-2zbMath0084.11001OpenAlexW2012958232MaRDI QIDQ770379

James E. Scroggs

Publication date: 1959

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-59-02609-2

zbMATH Keywords

functional analysis

Related Items (22)

Analytically invariant spectral resolvents of closed operators ⋮ The spectrum of a reductive normal operator ⋮ Spectral synthesis of Jordan-like operators ⋮ Common cyclic vectors for classes of operators having common spanning root spaces ⋮ Iterative actions of normal operators ⋮ Non-synthetic diagonal operators on the space of functions analytic on the unit disk ⋮ Spectral synthesis of diagonal operators and representing systems for the space of entire functions ⋮ Common cyclic vectors for diagonal operators on the space of entire functions ⋮ A moment condition and non-synthetic diagonalizable operators on the space of functions analytic on the unit disk ⋮ Dense invariant sets of common cyclic vectors for Jordan operators ⋮ Cyclic vectors of diagonal operators on the space of entire functions ⋮ Invariant subspaces in the theory of operators and theory of functions ⋮ Non-self-adjoint operator algebras in Hilbert space ⋮ Cyclic vectors of diagonal operators on the space of functions analytic on a disk ⋮ Operators with special decomposition properties ⋮ The spectrum of the restriction to an invariant subspace ⋮ Decomposable restrictions and extensions ⋮ On Absolutely Convergent Exponential Sums ⋮ Analytically invariant spectral resolvents ⋮ Spectral synthesis of Jordan operators ⋮ Horocycle averages on closed manifolds and transfer operators ⋮ On commutative non-self-adjoint operator algebras

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