HAUSDORFF MEASURE OF NONCOMPACTNESS FOR SOME PARANORMED λ-SEQUENCE SPACES OF NON-ABSOLUTE TYPE

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Abyar Elahe; Ghaemi Mohammad Bagher

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2015 | Issue:46

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Title

HAUSDORFF MEASURE OF NONCOMPACTNESS FOR SOME PARANORMED λ-SEQUENCE SPACES OF NON-ABSOLUTE TYPE

Author(s)

Abyar Elahe | Ghaemi Mohammad Bagher | Issue Writer Certificate

Keywords

HAUSDORFF MEASURE OF NONCOMPACTNESS

λ-SEQUENCE SPACES

PARANORMED SPACES

Abstract

RECENTLY SOME NEW GENERALIZE SEQUENCE SPACES RELATED TO THE SPACES L¥ (P), C (P) AND C0(P) HAVE BEEN DEFINED. IN THIS WORK, WE ESTABLISH ESTIMATES FOR THE OPERATOR NORMS AND THE HAUSDORFF MEASURE OF NON-COMPACTNESS OF CERTAIN MATRIX OPERATORS ON THIS SPACES THAT ARE PARANORMED SPACES BY THE MATRIX CLASSES (X, Y), WHERE (FORMULA) AND (FORMULA). FURTHER, WE APPLY OUR RESULTS TO OBTAIN CORRESPONDING SUBCLASSES OF COMPACT MATRIX OPERATORS.

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APA: Copy

Abyar, Elahe, & Ghaemi, Mohammad Bagher. (2015). HAUSDORFF MEASURE OF NONCOMPACTNESS FOR SOME PARANORMED λ-SEQUENCE SPACES OF NON-ABSOLUTE TYPE. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/921144/en

Vancouver: Copy

Abyar Elahe, Ghaemi Mohammad Bagher. HAUSDORFF MEASURE OF NONCOMPACTNESS FOR SOME PARANORMED λ-SEQUENCE SPACES OF NON-ABSOLUTE TYPE. 2015. Available from: https://sid.ir/paper/921144/en

IEEE: Copy

Elahe Abyar, and Mohammad Bagher Ghaemi, “HAUSDORFF MEASURE OF NONCOMPACTNESS FOR SOME PARANORMED λ-SEQUENCE SPACES OF NON-ABSOLUTE TYPE,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/921144/en

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