Conjugate Sequences, Bounded Complex Sequences and Convergent Complex Sequences

Adam Naumowicz

Warsaw University, Bialystok

Summary.

This article is a continuation of [1]. It is divided into five sections. The first one contains a few useful lemmas. In the second part there is a definition of conjugate sequences and proofs of some basic properties of such sequences. The third segment treats of bounded complex sequences,next one contains description of convergent complex sequences. The last and the biggest part of the article contains proofs of main theorems concerning the theory of bounded and convergent complex sequences.

MML Identifier: COMSEQ_2

Contents (PDF format)

1. Preliminaries
2. Conjugate sequences
3. Bounded complex sequences
4. Convergent complex sequences
5. Main theorems

Bibliography

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