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International Journal of Scientific Development and Research - IJSDR
(An International Open Access Journal)
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2455-2631


Issue: January 2021

Volume 6 | Issue 1

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Paper Title: INVARIANT SUBSPACES OF UNILATERAL SHIFT ON H2(D)
Authors Name: Praveen Sharma
Unique Id: IJSDR2011025
Published In: Volume 5 Issue 11, November-2020
Abstract: Let T be the unilateral shift on the Hardy-Hilbert Space on the open unit disk D. In this paper it is shown that T have no non trivial reducing subspaces and if M ≠ {0} be an invariant subspace of T then ∃ an inner function φ unique upto the multiplication by a constant of mod- ulus 1 such that M = φH2(D)
Keywords: Hilbert, Invariant, Unilateral, Equivalence
Cite Article: "INVARIANT SUBSPACES OF UNILATERAL SHIFT ON H2(D)", International Journal of Science & Engineering Development Research (www.ijsdr.org), ISSN:2455-2631, Vol.5, Issue 11, page no.157 - 163, November-2020, Available :http://www.ijsdr.org/papers/IJSDR2011025.pdf
Downloads: 00011738
Publication Details: Published Paper ID: IJSDR2011025
Registration ID:192714
Published In: Volume 5 Issue 11, November-2020
DOI (Digital Object Identifier):
Page No: 157 - 163
Publisher: IJSDR | www.ijsdr.org
ISSN Number: 2455-2631

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