AU - Afshin, H.R.
AU - Ranjbar, M.A.
TI - On the Decomposition of Hilbert Spaces
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 6
VI - 2
IP - 2
4099 - http://ijmsi.ir/article-1-232-en.html
4100 - http://ijmsi.ir/article-1-232-en.pdf
SO - IJMSI 2
ABĀ - Basic relation between numerical range and Davis-Wielandt shell of an operator $A$ acting on a Hilbert space with orthonormal basis $xi={e_{i}|i in I}$ and its conjugate $bar{A}$ which is introduced in this paper are obtained. The results are used to study the relation between point spectrum, approximate spectrum and residual spectrum of $A$ and $bar{A}$. A necessary and sufficient condition for $A$ to be self-conjugate ($A=bar{A}$) is given using a subgroup of H.
CP - IRAN
IN -
LG - eng
PB - IJMSI
PG - 1
PT - Research paper
YR - 2011