The Journal of the Indian Mathematical Society

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On It-Shrinking And A-Boundedly Complete M-BASES in Banach Spaces


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1 Department of Mathematics, University of Delhi, Delhi-110007, India
     

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Banach [2] considered M-bases which, in fact he called ‘complete biorthogonal system’. Markushevic [12] observed that these bases are available in every separable Banach space, while it is now known that bases may not exist in every separable Banach space [8].
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  • On It-Shrinking And A-Boundedly Complete M-BASES in Banach Spaces

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Authors

P. K. Jain
Department of Mathematics, University of Delhi, Delhi-110007, India
S. K. Kaushik
Department of Mathematics, University of Delhi, Delhi-110007, India

Abstract


Banach [2] considered M-bases which, in fact he called ‘complete biorthogonal system’. Markushevic [12] observed that these bases are available in every separable Banach space, while it is now known that bases may not exist in every separable Banach space [8].