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2022•FilomatOpen access

Some results on linear operators: Norm equivalence and closed range

S. Mohammad Hosseini, Jahangir Cheshmavar, Héctor Camilo Chaparro, S. Khalil Sarbaz

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Abstract

In this paper we develop some properties about bounded linear operators. We investigate relationships between bounded below and norm equivalent operators. Finally, we study conditions under which those operators become Fredholmn, Weyl and Browder type operators, respectively.

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In this paper we develop some properties about bounded linear operators. We investigate relationships between bounded below and norm equivalent operators. Finally, we study conditions under which those operators become Fredholmn, Weyl and Browder type operators, respectively.

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Available abstract

In this paper we develop some properties about bounded linear operators. We investigate relationships between bounded below and norm equivalent operators. Finally, we study conditions under which those operators become Fredholmn, Weyl and Browder type operators, respectively.

Key concepts: Mathematics, Operator norm, Linear operators, Bounded function, Operator theory, Equivalence (formal languages), Norm (philosophy), Pure mathematics

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