In this paper we provide some additional results related to Krein's resolvent formula for a non-densely defined symmetric operator. We show that coefficients in Krein's formula can be expressed in terms of analogues of the classical von Neumann formulas. The relationship between two Weyl-Tichmarsh m
An Addendum to Krein's Formula
β Scribed by Fritz Gesztesy; Konstantin A Makarov; Eduard Tsekanovskii
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 182 KB
- Volume
- 222
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In a recent article Herman Erlichson called attention to a flaw in Newton's proof of Proposition IX of Book I of the Principia. How did Newton fall into this error? A valid proof was near to hand, by an easy addition to Lemma III of Book II; but evidently Newton wished to attempt a different line of
## Abstract We prove the unitary equivalence of the inverse of the Kreinβvon Neumann extension (on the orthogonal complement of its kernel) of a densely defined, closed, strictly positive operator, __S__ β₯ __Ξ΅I~H~__ for some __Ξ΅__ > 0 in a Hilbert space __H__ to an abstract buckling problem operato