𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a Theorem of Pólya and Levinson

✍ Scribed by A. Vidras

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
491 KB
Volume
183
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Completely Indecomposable Operators and
Completely Indecomposable Operators and a Uniqueness Theorem of Cartwright–Levinson Type
✍ A. Atzmon; M. Sodin 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 224 KB

A bounded linear operator T on a complex Hilbert space will be called completely indecomposable if its spectrum is not a singleton, and is included in the spectrum of the restrictions of T and T \* to any of their nonzero invariant subspaces. Two classes of completely indecomposable operators are co

On the levinson theorem in the multichan
On the levinson theorem in the multichannel case
✍ G.C Ghirardi; M Pauri; A Rimini 📂 Article 📅 1963 🏛 Elsevier Science 🌐 English ⚖ 297 KB

With the aid of simple multichannel models, the possibility is investigated of obtaining a connection between the number of bound states of the Hamiltonian operator and only a part of the scattering phase shifts at zero and infinite energy.

Completely Indecomposable Operators and
Completely Indecomposable Operators and a Uniqueness Theorem of Cartwright–Levinson Type: Addendum to
✍ A. Atzmon; M. Sodin 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 72 KB

The purpose of this note is to show that the answers to Problems 2, 3, and 5 in [1] are positive, even under weaker assumptions. Keeping the notations of [1], we have Theorem 1. If : is a positive sequence on Z + which converges to a nonzero limit, then the operator A(:) has a proper invariant subsp