Seppo Hassi is a Professor of Mathematics at the University of Vaasa, having previously worked at the University of Helsinki. His main research interests are in operator and spectral theory and applications in analysis and mathematical physics. Hendrik S. V. de Snoo has worked at the University of Groningen since 1972 and obtained the title of Honorary Professor in 2010. He has been a visiting professor at the University of California, Los Angeles, Western Washington University and the University of the Witwatersrand. He recently held a Mercator professorship at the TU Berlin. He has a lifelong interest in abstract boundary value problems. Franciszek Hugon Szafraniec has established his mathematical career within Jagiellonian University, entering it in 1957 as a student. Receiving all appropriate scientific degrees and titles and going through all the various academic positions there, he retired in 2010. He visited numerous scholarly institutions and attended a vast number of conferences, all of which enriched his main research interest: Hilbert space methods.

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• Preface; John Williams Calkin: a short biography S. Hassi, H. S. V. de Snoo and F. H. Szafraniec; 1. On Calkin's abstract symmetric boundary conditions S. Hassi and H. L. Wietsma; 2. Maximal accretive extensions of sectorial operators Yu. M. Arlinskii; 3. Boundary control state/signal systems and boundary triplets D. Z. Arov, M. Kurula and O. J. Staffans; 4. Passive state/signal systems and conservative boundary relations D. Z. Arov, M. Kurula and O. J. Staffans; 5. Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triplets J. Behrndt and M. Langer; 6. Boundary triplets and Weyl functions. Recent developments V. A. Derkach, M. M. Malamud, S. Hassi and H. S. V. de Snoo; 7. Extension theory for elliptic partial differential operators with pseudodifferential methods G. Grubb; 8. Dirac structures and boundary relations S. Hassi, A. J. Van der Schaft, H. S. V. de Snoo and H. Zwart; 9. Naimark dilations and Naimark extensions in favour of moment problems F. H. Szafraniec.

Seppo Hassi is a Professor of Mathematics at the University of Vaasa, having previously worked at the University of Helsinki. His main research interests are in operator and spectral theory and applications in analysis and mathematical physics. Hendrik S. V. de Snoo has worked at the University of Groningen since 1972 and obtained the title of Honorary Professor in 2010. He has been a visiting professor at the University of California, Los Angeles, Western Washington University and the University of the Witwatersrand. He recently held a Mercator professorship at the TU Berlin. He has a lifelong interest in abstract boundary value problems. Franciszek Hugon Szafraniec has established his mathematical career within Jagiellonian University, entering it in 1957 as a student. Receiving all appropriate scientific degrees and titles and going through all the various academic positions there, he retired in 2010. He visited numerous scholarly institutions and attended a vast number of conferences, all of which enriched his main research interest: Hilbert space methods.

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• Preface; John Williams Calkin: a short biography S. Hassi, H. S. V. de Snoo and F. H. Szafraniec; 1. On Calkin's abstract symmetric boundary conditions S. Hassi and H. L. Wietsma; 2. Maximal accretive extensions of sectorial operators Yu. M. Arlinskii; 3. Boundary control state/signal systems and boundary triplets D. Z. Arov, M. Kurula and O. J. Staffans; 4. Passive state/signal systems and conservative boundary relations D. Z. Arov, M. Kurula and O. J. Staffans; 5. Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triplets J. Behrndt and M. Langer; 6. Boundary triplets and Weyl functions. Recent developments V. A. Derkach, M. M. Malamud, S. Hassi and H. S. V. de Snoo; 7. Extension theory for elliptic partial differential operators with pseudodifferential methods G. Grubb; 8. Dirac structures and boundary relations S. Hassi, A. J. Van der Schaft, H. S. V. de Snoo and H. Zwart; 9. Naimark dilations and Naimark extensions in favour of moment problems F. H. Szafraniec.