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  DOI Prefix   10.20431


 

International Journal of Scientific and Innovative Mathematical Research
Volume 7, Issue 6, 2019, Page No: 12-16

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

Faculty of Science /Department of Mathematics and Computer Science / National Pedagogical University (UPN) Democratic Republic of Congo (DRC).

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.

Abstract

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.


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