@article {15214,
	title = {On the norm of elementary operatorsin standard operator algebras},
	journal = {Acta Sci. Math. (Szeged)},
	volume = {70},
	year = {2004},
	pages = {229-236},
	abstract = {Let A be a complex normed algebra. For A,B ∈ A, define a basicelementary operator MA,B : A {\textrightarrow} A by MA,B(X) = AXB.Given a standard operator algebra A acting on a complex normed spaceand A,B ∈ A we have:(i) The lower estimate kMA,B +MB,Ak >= 2(√2 - 1)kAkkBk holds.(ii) The lower estimate kMA,B +MB,Ak >= kAkkBk holds ifinf∈C kA + Bk = kAk or inf∈C kB + Ak = kBk.(iii) The equality kMA,B +MB,Ak = 2kAkkBk holds ifkA + Bk = kAk + kBk for some unit scalar .These results extend analogous estimates established earlier for standardoperator subalgebras of Hilbert space operators.},
	author = {Seddik. A}
}
