000			03479nam a22003738i 4500
001			CR9781139135061
003			UkCbUP
005			20200124160231.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110729s2012||||enk o ||1 0|eng|d
020			_a9781139135061 (ebook)
020			_z9781107606111 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050		4	_aQA379 _b.O64 2012
082	0	4	_a515.35 _222
245	0	0	_aOperator methods for boundary value problems / _cedited by Seppo Hassi, Hendrik S.V. de Snoo and Franciszek Hugon Szafraniec.
264		1	_aCambridge : _bCambridge University Press, _c2012.
300			_a1 online resource (xii, 298 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v404
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. John Williams Calkin: a short biography / S. Hassi, H.S.V. de Snoo and F.H. Szafraniec -- 2. On Calkin's abstract symmetric boundary conditions / S. Hassi and H.L. Wietsma -- 3. Boundary triplets and maximal accretive extensions of sectorial operators / Y. Arlinskiĭ -- 4. Boundary control state/signal systems and boundary triplets / D.Z. Arov, M. Kurula and O.J. Staffans -- 5. Passive state/signal systems and conservative boundary relations / D.Z. Arov, M. Kurula and O.J. Staffans -- 6. Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples / J. Behrndt and M. Langer -- 7. Boundary triplets and Weyl functions. Recent developments / V.A. Derkach, S. Hassi, M.M. Malamud and H.S.V. de Snoo -- 8. Extension theory for elliptic partial differential operators with pseudodifferential methods / G. Grubb -- 9. Dirac structures and boundary relations / S. Hassi, A.J. van der Schaft, H.S.V. de Snoo and H.J. Zwart -- 10. Naĭmark dilations and Naĭmark extensions in favour of moment problems / F.H. Szafraniec.
520			_aPresented in this volume are a number of new results concerning the extension theory and spectral theory of unbounded operators using the recent notions of boundary triplets and boundary relations. This approach relies on linear single-valued and multi-valued maps, isometric in a Krein space sense, and offers a basic framework for recent developments in system theory. Central to the theory are analytic tools such as Weyl functions, including Titchmarsh-Weyl m-functions and Dirichlet-to-Neumann maps. A wide range of topics is considered in this context from the abstract to the applied, including boundary value problems for ordinary and partial differential equations; infinite-dimensional perturbations; local point-interactions; boundary and passive control state/signal systems; extension theory of accretive, sectorial and symmetric operators; and Calkin's abstract boundary conditions. This accessible treatment of recent developments, written by leading researchers, will appeal to a broad range of researchers, students and professionals.
650		0	_aBoundary value problems.
700	1		_aHassi, Seppo, _eeditor.
700	1		_aSnoo, Hendrik Simon Victor de, _d1945- _eeditor.
700	1		_aSzafraniec, Franciszek Hugon, _eeditor.
776	0	8	_iPrint version: _z9781107606111
830		0	_aLondon Mathematical Society lecture note series ; _v404.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139135061
999			_c517652 _d517650