Note on the Vector Sub-Space K(H)² of Compact Operators on a H Hilbert's Infinite Dimension Separable Space
Masamba Sala Voka Joseph
Citation : Masamba Sala Voka Joseph, Note on the Vector Sub-Space K(H)² of Compact Operators on a H Hilbert's Infinite Dimension Separable Space International Journal of Scientific and Innovative Mathematical Research 2019 , 7(6) : 12-16.
can we provide a vector space with two Hilbert's space structures? Obviously, the vector space K(H) of compact operators is candidate. The targeted vector spaces are noted K(H)¹ and K(H)². The following lines present the (H)²space.