scholarly journals A CERTAIN OPERATOR ALGEBRA IN AN INDEFINITE INNER PRODUCT SPACE

1975 ◽  
Vol 29 (2) ◽  
pp. 203-210 ◽  
Author(s):  
Schôichi ÔTA
Keyword(s):  
Operator Algebra ◽  
Product Space ◽  
Inner Product Space ◽  
Inner Product ◽  
Indefinite Inner Product ◽  
Indefinite Inner Product Space

scholarly journals Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space

2015 ◽  
Vol 3 (1) ◽  
Author(s):  
K. Appi Reddy ◽  
T. Kurmayya
Keyword(s):  
Product Space ◽  
Matrix Multiplication ◽  
Convex Cones ◽  
Inner Product Space ◽  
Inner Product ◽  
Indefinite Inner Product ◽  
Indefinite Matrix ◽  
Gram Matrices ◽  
Indefinite Inner Product Space

AbstractIn this paper we characterize Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space using the indefinite matrix multiplication. This characterization includes the acuteness (or obtuseness) of certain closed convex cones.

scholarly journals HAAG'S THEOREM IN THE THEORIES WITH NONPHYSICAL PARTICLES

2013 ◽  
Vol 28 (17) ◽  
pp. 1350076
Author(s):  
K. V. ANTIPIN ◽  
M. N. MNATSAKANOVA ◽  
YU. S. VERNOV
Keyword(s):  
Product Space ◽  
Inner Product Space ◽  
Inner Product ◽  
Indefinite Inner Product ◽  
Canonical Commutation Relations ◽  
Commutation Relations ◽  
Regular Representations ◽  
Indefinite Inner Product Space ◽  
Haag's Theorem

Haag's theorem is extended to the case of regular representations of the canonical commutation relations in a nondegenerate indefinite inner product space.

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