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Periodic solutions of infinite dimensional Riccati Equations

Giuseppe Da Prato (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si da un risultato di esistenza di soluzioni periodiche per una equazione di Riccati in dimensione infinita.

Self-adjoint differential vector-operators and matrix Hilbert spaces I

Maksim Sokolov (2005)

Open Mathematics

In the current work a generalization of the famous Weyl-Kodaira inversion formulas for the case of self-adjoint differential vector-operators is proved. A formula for spectral resolutions over an analytical defining set of solutions is discussed. The article is the first part of the planned two-part survey on the structural spectral theory of self-adjoint differential vector-operators in matrix Hilbert spaces.

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