TY  - JOUR
ID  - Alpay2018
LB  - Alpay2018
AU  - Alpay, Daniel
AU  - Gabriyelyan, Saak
TI  - Positive definite functions and dual pairs of locally convex spaces
ST  - Positive definite functions and dual pairs of locally convex spaces
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 4
SP  - 463
EP  - 482
DO  - https://doi.org/10.7494/OpMath.2018.38.4.463
UR  - https://doi.org/10.7494/OpMath.2018.38.4.463
AB  - Using pairs of locally convex topological vector spaces in duality and topologies defined by directed families of sets bounded with respect to the duality, we prove general factorization theorems and general dilation theorems for operator-valued positive definite functions.
KW  - positive definite function
KW  - locally convex space
KW  - dual pair
KW  - the (strong) factorization property
KW  - dilation theory
SN  - 1232-9274
ER  -