Access the full text.
Sign up today, get DeepDyve free for 14 days.
T.M. Bisgaard (2005)
On the relation between the scalar moment problem and the matrix moment problem on *-semigroupsSemigroup Forum, 68
T. Bisgaard (2001)
Semiperfect countable C-separative C-finite semigroupsCollectanea Mathematica, 52
C. Berg, J. Christensen, P. Ressel (1984)
Harmonic Analysis on Semigroups
(1993)
The Sz.-Nagy "théorème principal" extended. Application to subnormality
@BULLET In [2] the authors consider negative definite sequences, which is a subclass of mappings with a finite number of negative squares. @BULLET Finally
T. Bisgaard (1996)
Separation by characters or positive definite functionsSemigroup Forum, 53
I. Iohvidov, M. Krein, H. Langer (1982)
Introduction to the spectral theory of operators in spaces with an indefinite metric
B. Szőkefalvi-Nagy, F. Riesz, L. Boron (1960)
Appendix to Frigyes Riesz and Béla Sz.-Nagy Functional analysis : extensions of linear transformations in Hilbert space which extend beyond this space
(1081)
HV Amsterdam
Uniwersytet Jagielloński, ul. Lojasiewicza 6, 30 348 Kraków
T. Bisgaard (2002)
Factoring of positive definite functions on semigroupsSemigroup Forum, 64
C. Berg, J. Christensen, P. Maserick (1988)
Sequences with finitely many negative squaresJournal of Functional Analysis, 79
F. Szafraniec (1981)
Boundedness of the shift operator related to positive definite forms: An application to moment problemsArkiv för Matematik, 19
(1967)
The Algebraic Theory of semigroups 2 vols
D. Cicho'n, J. Stochel, F. Szafraniec (2009)
EXTENDING POSITIVE DEFINITENESSTransactions of the American Mathematical Society, 363
T. Bisgaard (1998)
Extensions of Hamburger's TheoremSemigroup Forum, 57
The transformation φ → φ(· + u) has been investigated by Bisgaard. He showed in [9] that it is always a sum of four positive definite mappings
T. Bisgaard (1989)
The two-sided complex moment problemArkiv för Matematik, 27
@BULLET Functions with finite number of negative spaces on topological groups has been considered in the book of Sasvári
F. Szafraniec (2000)
The reproducing kernel Hilbert space and its multiplication operatorsOperator theory, 114
P. Szafraniec (1983)
Interpolation and domination by positive definite kernels
Torben Bisgaard, H. Cornean (2001)
Nonexistence in General of a Definitizing Ideal of the Desired CodimensionPositivity, 7
J. Bognár (1974)
Indefinite Inner Product Spaces
(1993)
The Sz.-Nagy ”théorème principal
M. Thill (1989)
Exponentially bounded indefinite functionsMathematische Annalen, 285
@BULLET In [1] sequences on N with a finite number of negative squares are consid- ered
Z. Sasvári (1994)
Positive definite and definitizable functions
T.M. Bisgaard (2001)
Semiperfect countable $${\mathbb C}$$ -separative C-finite semigroupsCollect. Math., 52
T. Bisgaard (2004)
On the Relation between the Scalar Moment Problem and the Matrix Moment Problem on *-SemigroupsSemigroup Forum, 68
F.H. Szafraniec (1893)
Complex Analysis—Fifth Romanian-Finish Seminar, Part 2, Proceedings, Bucarest (Romania), 1981, Lecture Notes in Math., vol. 1014
The geometry of spaces with indefinite inner product, known also as Krein spaces, is a basic tool for developing Operator Theory therein. In the present paper we establish a link between this geometry and the algebraic theory of *-semigroups. It goes via the positive definite functions and related to them reproducing kernel Hilbert spaces. Our concern is in describing properties of elements of the semigroup which determine shift operators which serve as Pontryagin fundamental symmetries.
Positivity – Springer Journals
Published: Mar 2, 2010
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.