THE CARRIER GRAPH TOPOLOGY

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KULKARNI S.H.; RAMESH G.

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Journal Paper

Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2011 | Volume:5 | Issue:1 Page(s): 56-69

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Title

THE CARRIER GRAPH TOPOLOGY

Author(s)

KULKARNI S.H. | RAMESH G. | Issue Writer Certificate

Keywords

GAP METRIC

CARRIER GRAPH TOPOLOGY

REDUCED MINIMUM MODULUS

MOORE–PENROSE INVERSE

Abstract

We define a new metric on the set of all closed linear operators between Hilbert spaces and investigate its properties. In particular, we show that the set of all closed operators with a closed range is an open subset of the set of all closed operators and the map T®T+ is an isometry in this metric. We also investigate the relationships between the topology induced by this metric and the GAP METRIC.

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APA: Copy

KULKARNI, S.H., & RAMESH, G.. (2011). THE CARRIER GRAPH TOPOLOGY. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 5(1), 56-69. SID. https://sid.ir/paper/316945/en

Vancouver: Copy

KULKARNI S.H., RAMESH G.. THE CARRIER GRAPH TOPOLOGY. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2011;5(1):56-69. Available from: https://sid.ir/paper/316945/en

IEEE: Copy

S.H. KULKARNI, and G. RAMESH, “THE CARRIER GRAPH TOPOLOGY,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 5, no. 1, pp. 56–69, 2011, [Online]. Available: https://sid.ir/paper/316945/en

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