Partial inner product spaces : theory and applications / Jean-Pierre Antoine, Camillo Trapani
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1986Langue : anglais.Éditeur : Berlin : Springer, 2009ISBN: 9783642051357.ISSN: 1617-9692.Sujet MSC : 46C50, Functional analysis - Inner product spaces and their generalizations, Hilbert spaces, Generalizations of inner products47N50, Miscellaneous applications of operator theory, Applications in the physical sciences
94A08, Communication, information, Image processing in information and communication theory
94A12, Communication, information, Signal theory (characterization, reconstruction, filtering, etc.)En-ligne : Springerlink
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Partial Inner Product (PIP) spaces generalize and synthesize a lot of spaces appearing in functional analysis, such as rigged Hilbert spaces, scales of Hilbert or Banach spaces, etc. Their study is motivated by numerous applications in quantum physics or in signal processing, where one works with parametrized families of spaces and it is the whole system that counts rather than the individual spaces. The authors propose an axiomatic approach allowing a unified treatment of several questions involving indexed families of spaces and operators between them. ... (Zentralblatt)
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