Geodesic
Numerical index with respect to an operator
Mohammad Ali Ardalani1
1Department of Mathematics Faculty of Science University of Kurdistan Pasdaran Ave. Postal Code 66177-15175 Sanandaj, Iran
Studia Mathematica, Tome 225 (2014) no. 2, pp. 165-171

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We introduce new concepts of numerical range and numerical radius of one operator with respect to another one, which generalize in a natural way the known concepts of numerical range and numerical radius. We study basic properties of these new concepts and present some examples.
DOI : 10.4064/sm225-2-3
Keywords: introduce concepts numerical range numerical radius operator respect another which generalize natural known concepts numerical range numerical radius study basic properties these concepts present examples

Mohammad Ali Ardalani  1

1 Department of Mathematics Faculty of Science University of Kurdistan Pasdaran Ave. Postal Code 66177-15175 Sanandaj, Iran 
Mohammad Ali Ardalani. Numerical index with respect to an operator. Studia Mathematica, Tome 225 (2014) no. 2, pp. 165-171. doi: 10.4064/sm225-2-3
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