DIRECT SUM OF LOWER SEMI-FRAMES IN HILBERT SPACES

Mohanarangan Hemalatha; P. Sam Johnson; P. K. Harikrishnan

doi:10.56947/gjom.v19i2.2803

DIRECT SUM OF LOWER SEMI-FRAMES IN HILBERT SPACES

Mohanarangan Hemalatha
, P. Sam Johnson
, P. K. Harikrishnan^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, structural properties of lower semi-frames in separable Hilbert spaces are explored with a focus on transformations under linear operators (may be unbounded). Also, the direct sum of lower semi-frames, providing necessary and sufficient conditions for the preservation of lower semiframe structure, is examined.

Original language	English
Pages (from-to)	412-423
Number of pages	12
Journal	Gulf Journal of Mathematics
Volume	19
Issue number	2
DOIs	https://doi.org/10.56947/gjom.v19i2.2803
Publication status	Published - 20-04-2025

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.56947/gjom.v19i2.2803

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title = "DIRECT SUM OF LOWER SEMI-FRAMES IN HILBERT SPACES",

abstract = "In this paper, structural properties of lower semi-frames in separable Hilbert spaces are explored with a focus on transformations under linear operators (may be unbounded). Also, the direct sum of lower semi-frames, providing necessary and sufficient conditions for the preservation of lower semiframe structure, is examined.",

author = "Mohanarangan Hemalatha and Johnson, \{P. Sam\} and Harikrishnan, \{P. K.\}",

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AB - In this paper, structural properties of lower semi-frames in separable Hilbert spaces are explored with a focus on transformations under linear operators (may be unbounded). Also, the direct sum of lower semi-frames, providing necessary and sufficient conditions for the preservation of lower semiframe structure, is examined.

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JO - Gulf Journal of Mathematics

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DIRECT SUM OF LOWER SEMI-FRAMES IN HILBERT SPACES

Abstract

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