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On Krein's Formula in the Case of Non-densely Defined Symmetric Operators

โœ Scribed by Sergey Belyi; Govind Menon; Eduard Tsekanovskii


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
146 KB
Volume
264
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


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-functions corresponding to self-adjoint extensions of a non-densely defined symmetric operator is established.


๐Ÿ“œ SIMILAR VOLUMES


On the Smoothing Property of Multigrid M
โœ Alois Ecker; Walter Zulehner ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 414 KB ๐Ÿ‘ 1 views

In this paper we present an extension of Reusken's Lemma about the smoothing property of a multigrid method for solving non-symmetric linear systems of equations. One of the consequences of this extended lemma is the verification of the smoothing property for all damping factors o E (0, 1). Addition