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Extensions of the symmetric operator generated by an infinite Jacobi matrix

โœ Scribed by B.P. Allahverdiev


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
452 KB
Volume
37
Category
Article
ISSN
0895-7177

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โœฆ Synopsis


{O,l, 2,.

.}, dimE = n < co), with maximal deficiency indices (n, n), generated by an infinite Jacobi matrix with matrix entries. A description of all maximal dissipative, maximal accretive, selfadjoint, and other extensions of such a symmetric operator is given in terms of boundary conditions at infinity.


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An extension of the generalized pascal m
โœ Zhizheng Zhang; Maixue Liu ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 198 KB

The extended generalized Pascal matrix can be represented in two different ways: as a lower triangular matrix d~n [x, y] or as a symmetric ~.[x, y]. These matrices generalize Pn[X], Qn[X], and Rn[X], which are defined by Zhang and by Call and Velleman. A product formula for dp.[ x, y] has been found