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2 - On Calkin's abstract symmetric boundary conditions

Published online by Cambridge University Press:  05 November 2012

S. Hassi
Affiliation:
University of Vaasa
H.L. Wietsma
Affiliation:
University of Vaasa
Seppo Hassi
Affiliation:
University of Vaasa, Finland
Hendrik S. V. de Snoo
Affiliation:
Rijksuniversiteit Groningen, The Netherlands
Franciszek Hugon Szafraniec
Affiliation:
Jagiellonian University, Krakow
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Publisher: Cambridge University Press
Print publication year: 2012

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References

Azizov, T. Ya., and Iokhvidov, I. S. 1989. Linear operators in spaces with an indefinite metric, John Wiley and Sons, New York.
Calkin, J. W. 1939a. Abstract symmetric boundary conditions, Trans. Amer. Math. Soc., 45, 369–442.Google Scholar
Calkin, J. W. 1939b. General self-adjoint boundary conditions for certain partial differential operators, Proc. N.A.S., 25, 201–206.Google Scholar
Calkin, J. W. 1941. Two-Sided ideals and congruences in the ring of bounded operators in Hilbert space, Annals of Mathematics, 42, 839–873.Google Scholar
Cross, R. W. 1995. Closed operators and the Calkin property, Proceedings of the Royal Irish Academy, 95A, 109–111.Google Scholar
Derkach, V. A., Hassi, S., Malamud, M. M., and de Snoo, H. S. V. 2006. Boundary relations and their Weyl families, Trans. Amer. Math. Soc., 358, 5351–5400.Google Scholar
Fillmore, P. A., and Williams, J. P. 1971. On operator ranges, Advances in Math., 7, 254–281.Google Scholar
Gorbachuk, V.I., and Gorbachuk, M.L. 1991. Boundary value problems for operator differential equations, Kluwer Academic Publishers Group, Dordrecht.
Mogilevskii, V. 2006. Boundary triplets and Krein type resolvent formula for symmetric operators with unequal defect numbers, Methods of Functional Analysis and Topology, 12, 258–280.Google Scholar
Wietsma, H. L., 2012. Representations of unitary relations between Kreĭn spaces, Integral Equations Operator Theory, 72, 309–344.Google Scholar

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