SEQUENCE SPACES OF A DOUBLE SEQUENTIAL BAND MATRIX AND THE HAUSDORFF MEASURE OF NONCOMPACTNESS

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Abyar e.; GHAEMI M.B.

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2016 | Issue:47

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Title

SEQUENCE SPACES OF A DOUBLE SEQUENTIAL BAND MATRIX AND THE HAUSDORFF MEASURE OF NONCOMPACTNESS

Author(s)

Abyar e. | GHAEMI M.B. | Issue Writer Certificate

Keywords

SEQUENCE SPACE

DOUBLE SEQUENTIAL MATRIX

PARANORMED SPACE

HAUSDORFF MEASURE OF NONCOMPACTNESS

Abstract

THE PARANORMED SEQUENCE SPACES L¥ (B, P), C (B, P), AND C0 (B, P) HAVE RECENTLY BEEN DEFINED.THESE SEQUENCE SPACES ARE OF NON-ABSOLUTE TYPE DERIVED BY THE DOUBLE SEQUENTIAL BAND MATRIXB (R, S). IN THIS WORK, WE ESTABLISH IDENTITIES OR ESTIMATES FOR THE OPERATOR NORMS AND THE HAUSDORFF MEASURE OF NONCOMPACTNESS OF CERTAIN MATRIX OPERATORS ON THESE SPACES. THE MAIN PURPOSE OF THIS WORK IS TO FIND THE NECESSARY AND SUFFICIENT CONDITION FOR COMPACTNESS OF LA IN THE CLASS (X, L¥ (Q)) (WHERE X IS ANY OF THE SPACES L¥ (B, P), C (B, P) OR C0 (B, P)) AND CHARACTERIZE SOME CLASSES OF COMPACT OPERATORS ON THESE SPACES BY APPLYING THE HAUSDORFF MEASURE OF THE NONCOMPACTNESS TECHNIQUE.

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APA: Copy

Abyar, e., & GHAEMI, M.B.. (2016). SEQUENCE SPACES OF A DOUBLE SEQUENTIAL BAND MATRIX AND THE HAUSDORFF MEASURE OF NONCOMPACTNESS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/939194/en

Vancouver: Copy

Abyar e., GHAEMI M.B.. SEQUENCE SPACES OF A DOUBLE SEQUENTIAL BAND MATRIX AND THE HAUSDORFF MEASURE OF NONCOMPACTNESS. 2016. Available from: https://sid.ir/paper/939194/en

IEEE: Copy

e. Abyar, and M.B. GHAEMI, “SEQUENCE SPACES OF A DOUBLE SEQUENTIAL BAND MATRIX AND THE HAUSDORFF MEASURE OF NONCOMPACTNESS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2016, [Online]. Available: https://sid.ir/paper/939194/en

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