id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-502	Khalil, Roshdi Rasheed; Al-Mirbati, Rudaina Abdul-Ghaffar; Drissi, Driss	Tensor Product Semigroups	2010	18	.pdf	application/pdf	8071	409	86	Then for any 0 6= y ∈ Y we have bT (s1 + s2)x − bT (s1)bT (s2)x = 1 y �bT (s1 + s2)x − bT (s1)bT (s2)x � ⊗ y = 1 y ��bT (s1 + s2)⊗ I � − �bT (s1)bT(s2)⊗ I ��� x ⊗ y � = 1 y �bT (s1 + s2)⊗ bS(0+ 0) � − �bT (s1)bT(s2)⊗ bS(0)bS(0) �� x ⊗ y � = ��bT (s1 + s2)⊗ bS(0+ 0) � − �bT (s1)⊗ bS(0) ��bT (s2)⊗ bS(0) ��� x ⊗ y � y = 1 y ��T (s1 + s2)⊗ S(0+ 0) �− �T (s1)⊗ S(0) �� T (s2)⊗ S(0) ��� x ⊗ y � . z = �� A1 ⊗ I , I ⊗ A2 ��s t �� z for every z ∈D �� A1 ⊗ I ��s t ��∩ D �� I ⊗ A2 ��s t �� =D �� A1 ⊗ I �� ∩D �� I ⊗ A2 �� .	cache/ejpam-502.pdf	txt/ejpam-502.txt