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The commutant of the Volterra operator

✍ Scribed by J. A. Erdos


Publisher
SP Birkhäuser Verlag Basel
Year
1982
Tongue
English
Weight
121 KB
Volume
5
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES


The Commutant of the Laplace Operator in
✍ Werner J. Ricker 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 477 KB

## Abstract Let __L__ = ‐ __d__^2^/__dx__^2^ be the Laplace operator in __L^p^__(R), 1<__p__ < ∞. It is shown that a bounded operator __T__ in __L^p^__(R) commutes with __L__, in the sense that the domain __D__ of __L__ is __T__‐invariant and __TLf__ = __LTf__ for each __f__ in __D__, if and only i