INVARIANT SUBSPACES OF UNILATERAL SHIFT ON H2(D)

Praveen Sharma

Hilbert, Invariant, Unilateral, Equivalence

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)

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"INVARIANT SUBSPACES OF UNILATERAL SHIFT ON H2(D)", IJSDR - International Journal of Scientific Development and Research (www.IJSDR.org), ISSN:2455-2631, Vol.5, Issue 11, page no.157 - 163, November-2020, Available :https://ijsdr.org/papers/IJSDR2011025.pdf

Volume 5 Issue 11, November-2020

Pages : 157 - 163

Paper Reg. ID: IJSDR_192714

Published Paper Id: IJSDR2011025

Downloads: 000347166

Research Area: Applied Mathematics

Country: Faridabad, Haryana, India

Published Paper PDF: https://ijsdr.org/papers/IJSDR2011025

Published Paper URL: https://ijsdr.org/viewpaperforall?paper=IJSDR2011025

ISSN: 2455-2631 | IMPACT FACTOR: 9.15 Calculated By Google Scholar | ESTD YEAR: 2016

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