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@article{883932,
author = {Šimon Hilscher, Roman and Zemánek, Petr},
article_location = {Praha},
article_number = {2},
keywords = {Linear Hamiltonian system; Friedrichs extension; Self-adjoint operator; Recessive solution; Quadratic functional; Positivity; Conjoined basis},
language = {eng},
issn = {0862-7959},
journal = {Mathematica Bohemica},
title = {Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval},
volume = {315},
year = {2010}
}
TY - JOUR
ID - 883932
AU - Šimon Hilscher, Roman - Zemánek, Petr
PY - 2010
TI - Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval
JF - Mathematica Bohemica
VL - 315
IS - 2
SP - 209-222
EP - 209-222
PB - Matematický ústav AV ČR
SN - 08627959
KW - Linear Hamiltonian system
KW - Friedrichs extension
KW - Self-adjoint operator
KW - Recessive solution
KW - Quadratic functional
KW - Positivity
KW - Conjoined basis
N2 - In this paper we consider a linear operator on an unbounded interval associated with a matrix linear Hamiltonian system. We characterize its Friedrichs extension in terms of the recessive system of solutions at infinity. This generalizes a similar result obtained by Marletta and Zettl for linear operators defined by even-order Sturm--Liouville differential equations.
ER -
ŠIMON HILSCHER, Roman a Petr ZEMÁNEK. Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval. \textit{Mathematica Bohemica}. Praha: Matematický ústav AV ČR, 2010, roč.~315, č.~2, s.~209-222. ISSN~0862-7959.
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