text. During the work on the old text, encouragements by Elliott Lieb and by the
late Walter Thirring were also stimulating, and the discussions with the colleagues,
the late Ivan Korec, Milan Noga, Peter Prešnajder and in particular with Jiří Tolar,
were useful and the author expresses his gratitude to all of them. Thankfulness for
several times repeated encouragements to publish the old text should be expressed
to Nicolaas P. Landsman. Author’s thanks belong also, last but not least, to his
colleague Vladimír Balek for his kind help with the final formulation of important
parts of this book.
Technical Notes
(a) This book contains several technical concepts which are not introduced here
in detail. The readers needing to get a brief acquaintance with some additional
elementary concepts and facts of topology, differential geometry (also in
infinite dimensions), group theory, or theory of Hilbert space operators and
theory of operator algebras, could consult, e.g. the appendices of the freely
accessible publication [37], and the literature cited in our Bibliography. Due
to connections of many places in the text of this book with the content of the
work [37] it is recommended to keep the cited [37], and perhaps also
[37, Textbook], as a handbook. The frequent citations from [37] contain
usually references to specific places of the cited work.
(b) Two kinds of quotation marks are used: Either the ones which stress some
“standard expressions”, or those which indicate ‘intuitive denotations’. The
difference between these two is not, however, very sharp.
(c) Many symbols appearing in mathematical formulas are introduced in various
places of the text and repeatedly used in the rest of the book. For easier
revealing of their meanings, they are included in Index and their first
appearance in the text is stressed, sometimes in a not quite usual manner, by
boldface form of a part of the surrounding text.
Bratislava, Slovakia
Pavel Bóna
The original version of the book was revised: For detailed information please see
Correction. The correction to the book is available at https://doi.org/10.1007/978-3030-45070-0_8
Preface
vii
late Walter Thirring were also stimulating, and the discussions with the colleagues,
the late Ivan Korec, Milan Noga, Peter Prešnajder and in particular with Jiří Tolar,
were useful and the author expresses his gratitude to all of them. Thankfulness for
several times repeated encouragements to publish the old text should be expressed
to Nicolaas P. Landsman. Author’s thanks belong also, last but not least, to his
colleague Vladimír Balek for his kind help with the final formulation of important
parts of this book.
Technical Notes
(a) This book contains several technical concepts which are not introduced here
in detail. The readers needing to get a brief acquaintance with some additional
elementary concepts and facts of topology, differential geometry (also in
infinite dimensions), group theory, or theory of Hilbert space operators and
theory of operator algebras, could consult, e.g. the appendices of the freely
accessible publication [37], and the literature cited in our Bibliography. Due
to connections of many places in the text of this book with the content of the
work [37] it is recommended to keep the cited [37], and perhaps also
[37, Textbook], as a handbook. The frequent citations from [37] contain
usually references to specific places of the cited work.
(b) Two kinds of quotation marks are used: Either the ones which stress some
“standard expressions”, or those which indicate ‘intuitive denotations’. The
difference between these two is not, however, very sharp.
(c) Many symbols appearing in mathematical formulas are introduced in various
places of the text and repeatedly used in the rest of the book. For easier
revealing of their meanings, they are included in Index and their first
appearance in the text is stressed, sometimes in a not quite usual manner, by
boldface form of a part of the surrounding text.
Bratislava, Slovakia
Pavel Bóna
The original version of the book was revised: For detailed information please see
Correction. The correction to the book is available at https://doi.org/10.1007/978-3030-45070-0_8
Preface
vii