On the Norm of Elementary Operator Page 1 Advances in Pure Mathematics, 2014, 4, 309-316
Published Online July 2014 in SciRes. http://www.scirp.org/journal/apm http://dx.doi.org/10.4236/apm.2014.47041 …

Many properties of Elementary operators, including spectrum, numerical ranges,
compactness, rank, and norm have been studied in depth and some results have been …

Many researchers in operator theory have attempted to determine the relationship between
the norm of basic elementary operator and the norms of its coefficient operators. Various …

In this paper, we determine the norm of an elementary operator in a tensor product. More
precisely, we investigate the bounds of the norm of a basic elementary operator in a tensor …

In this note, we provide detailed characterization of operators in terms of norm-attainability
and norm estimates in Banach algebras. In particular, we establish the necessary and …

We present new norm inequalities of matrices of norm-attainable operators and characterize
the maps that act on matrices of these operators. Moreover, we characterize completely …

The investigations of Norm-attainability in Hilbert spaces and derivations has been done for
quite long. Norm-attainability conditions for elementary operators such as basic elementary …

Spectrally bounded compact elementary operators on dense irreducible subalgebras of C*-
algebras are characterized. Also, it is shown that left multiplications, right multiplications …

A. In this paper, we give some properties of spectrally bounded compact elementary
operators on dense irreducible subalgebras and determine the closure conditions for the …

In this paper, we determine the norm of an elementary operator in a tensor product. More
precisely, we investigate the bounds of the norm of a basic elementary operator in a tensor …