Fundamentals on Sesquilinear Forms

Chapter I contains some of the basic concepts and facts upon which subsequent chapters are built. The reader will find the terminology and notations that are used throughout the text. A number of fundamental definitions have been inserted in later chapters; whenever it had been possible to introduce a concept right where it is needed without interrupting the flow of ideas we have postponed its introduction.

[1]  Winfried Scharlau,et al.  Zur Existenz von Involutionen auf einfachen Algebren II , 1975 .

[2]  A. Albert Structure of Algebras , 1939 .

[3]  W. John Wilbur,et al.  On characterizing the standard quantum logics , 1977 .

[4]  Samuel S Holland Orderings and square roots in ★-fields , 1977 .

[5]  O. Keller,et al.  J. Dieudonné, La géometrie des groupes classiques. (Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Heft 5.) VII + 115 S. Berlin/Göttingen/Heidelberg 1955. Springer-Verlag. Preis brosch. 19,60 DM . , 1956 .

[6]  Hans R. Fischer,et al.  Tensorprodukte linearer Topologien (Quadratische Formen und lineare Topologien, III) , 1965 .

[7]  Alexander Prestel Euklidische Geometrie ohne das Axiom von Pasch , 1974 .

[8]  Vera Pless On the invariants of a vector subspace of a vector space over a field of characteristic two , 1965 .

[9]  Herbert Gross,et al.  Continuous forms in infinite dimensional spaces (quadratic forms and linear topologies IV) , 1967 .

[10]  Irving Kaplansky Linear algebra and geometry , 1969 .

[11]  Fumitomo Maeda,et al.  Theory of symmetric lattices , 1970 .

[12]  Herbert Gross,et al.  Strange inner product spaces , 1977 .

[13]  R. Baer,et al.  Linear algebra and projective geometry , 1952 .

[14]  George Maxwell,et al.  Infinite symplectic groups over rings , 1972 .

[15]  Jukka Saranen Über die Verbandcharakterisierung einiger nichtentarteter Formen , 1975 .

[16]  M. Donald MacLaren ATOMIC ORTHOCOMPLEMENTED LATTICES , 1964 .

[17]  H. Groß,et al.  On the definition of Hilbert space , 1977 .

[18]  E. Ogg Ein Satz über orthogonal abgeschlossene Unterräume , 1969 .

[19]  Vera Pless On Witt’s theorem for nonalternating symmetric bilinear forms over a field of characteristic 2 , 1964 .

[20]  Herbert Gross,et al.  Quadratic spaces with few isometries (Quadratic forms and linear topologies VI) , 1973 .

[21]  c. E. Rickart Isomorphisms of Infinite-dimensional analogues of the classical groups , 1951 .

[22]  E. Witt,et al.  Theorie der quadratischen Formen in beliebigen Körpern. , 1937 .

[23]  Jean Dieudonne On the Structure of Unitary Groups (II) , 1953 .

[24]  h.c. Gottfried Köthe Topological Vector Spaces II , 1979 .

[25]  Herbert Gross Linearly topologized spaces without continuous bases , 1971 .

[26]  Andreas Speiser,et al.  Algebren und ihre Zahlentheorie , 1927 .

[27]  H. Gross,et al.  Quadratic forms and linear topologies, I , 1964 .

[28]  Alexander Prestel,et al.  Lectures On Formally Real Fields , 1976 .

[29]  Hans Arwed Keller Stetigkeitsfragen bei lineartopologischen Cliffordalgebren , 1971 .

[30]  J. Neumann,et al.  The Logic of Quantum Mechanics , 1936 .

[31]  Oma Hamara On the Structure of the Orthogonal Group. , 1967 .

[32]  J. Dieudonne,et al.  On the structure of unitary groups , 1952 .

[33]  R. Ho Algebraic Topology , 2022 .